438992640 has 216 divisors, whose sum is σ = 1549679040. Its totient is φ = 114696192.

The previous prime is 438992639. The next prime is 438992669. The reversal of 438992640 is 46299834.

438992640 is a `hidden beast` number, since 4 + 389 + 9 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610201 + ... + 610919.

It is an arithmetic number, because the mean of its divisors is an integer number (7174440).

Almost surely, 2^438992640 is an apocalyptic number.

438992640 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 438992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774839520).

438992640 is an abundant number, since it is smaller than the sum of its proper divisors (1110686400).

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

438992640 is a wasteful number, since it uses less digits than its factorization.

438992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 438992640 is about 20952.1512022036. The cubic root of 438992640 is about 760.0096028334.

The spelling of 438992640 in words is "four hundred thirty-eight million, nine hundred ninety-two thousand, six hundred forty".