438521952 has 96 divisors (see below), whose sum is σ = 1267830144. Its totient is φ = 131609600.

The previous prime is 438521903. The next prime is 438521977. The reversal of 438521952 is 259125834.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 438521952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111052 + ... + 114932.

It is an arithmetic number, because the mean of its divisors is an integer number (13206564).

Almost surely, 2^438521952 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 438521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633915072).

438521952 is an abundant number, since it is smaller than the sum of its proper divisors (829308192).

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

438521952 is a wasteful number, since it uses less digits than its factorization.

438521952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 4004 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 438521952 is about 20940.9157392890. The cubic root of 438521952 is about 759.7378782111.

The spelling of 438521952 in words is "four hundred thirty-eight million, five hundred twenty-one thousand, nine hundred fifty-two".