438479039232 has 540 divisors, whose sum is σ = 1424884512744. Its totient is φ = 134050775040.

The previous prime is 438479039221. The next prime is 438479039261. The reversal of 438479039232 is 232930974834.

438479039232 is a `hidden beast` number, since 438 + 4 + 7 + 90 + 3 + 92 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 739424728 + ... + 739425320.

Almost surely, 2^438479039232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438479039232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712442256372).

438479039232 is an abundant number, since it is smaller than the sum of its proper divisors (986405473512).

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

438479039232 is a wasteful number, since it uses less digits than its factorization.

438479039232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 438479039232 in words is "four hundred thirty-eight billion, four hundred seventy-nine million, thirty-nine thousand, two hundred thirty-two".