438420972 has 96 divisors (see below), whose sum is σ = 1212825600. Its totient is φ = 121780800.

The previous prime is 438420907. The next prime is 438420989. The reversal of 438420972 is 279024834.

It is a self number, because there is not a number n which added to its sum of digits gives 438420972.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74929 + ... + 80567.

It is an arithmetic number, because the mean of its divisors is an integer number (12633600).

Almost surely, 2^438420972 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 438420972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606412800).

438420972 is an abundant number, since it is smaller than the sum of its proper divisors (774404628).

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

438420972 is a wasteful number, since it uses less digits than its factorization.

438420972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 438420972 is about 20938.5045311264. The cubic root of 438420972 is about 759.6795578920.

The spelling of 438420972 in words is "four hundred thirty-eight million, four hundred twenty thousand, nine hundred seventy-two".