438359040 has 440 divisors, whose sum is σ = 1807124352. Its totient is φ = 99532800.

The previous prime is 438359029. The next prime is 438359069. The reversal of 438359040 is 40953834.

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 = 438358986 and 438359004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902965 + ... + 2903115.

Almost surely, 2^438359040 is an apocalyptic number.

438359040 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 438359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903562176).

438359040 is an abundant number, since it is smaller than the sum of its proper divisors (1368765312).

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

438359040 is a wasteful number, since it uses less digits than its factorization.

438359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 438359040 is about 20937.0255767146. The cubic root of 438359040 is about 759.6437850520.

The spelling of 438359040 in words is "four hundred thirty-eight million, three hundred fifty-nine thousand, forty".