438704640 has 320 divisors, whose sum is σ = 1702926720. Its totient is φ = 106168320.

The previous prime is 438704639. The next prime is 438704641. The reversal of 438704640 is 46407834.

438704640 is a `hidden beast` number, since 4 + 3 + 8 + 7 + 0 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (438704639) and next prime (438704641).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×438704640² = 384923522315059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 438704595 and 438704604.

It is not an unprimeable number, because it can be changed into a prime (438704641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760032 + ... + 760608.

It is an arithmetic number, because the mean of its divisors is an integer number (5321646).

Almost surely, 2^438704640 is an apocalyptic number.

438704640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851463360).

438704640 is an abundant number, since it is smaller than the sum of its proper divisors (1264222080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

438704640 is a wasteful number, since it uses less digits than its factorization.

438704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 438704640 is about 20945.2772719771. The cubic root of 438704640 is about 759.8433656888.

It can be divided in two parts, 438 and 704640, that added together give a triangular number (705078 = T₁₁₈₇).

The spelling of 438704640 in words is "four hundred thirty-eight million, seven hundred four thousand, six hundred forty".