438934531392 has 672 divisors, whose sum is σ = 1554183880704. Its totient is φ = 120185856000.

The previous prime is 438934531381. The next prime is 438934531459. The reversal of 438934531392 is 293135439834.

438934531392 is a `hidden beast` number, since 4 + 3 + 8 + 93 + 453 + 13 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381350017 + ... + 381351167.

It is an arithmetic number, because the mean of its divisors is an integer number (2312773632).

Almost surely, 2^438934531392 is an apocalyptic number.

438934531392 is a gapful number since it is divisible by the number (42) 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 438934531392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777091940352).

438934531392 is an abundant number, since it is smaller than the sum of its proper divisors (1115249349312).

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

438934531392 is a wasteful number, since it uses less digits than its factorization.

438934531392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1307 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 438934531392 in words is "four hundred thirty-eight billion, nine hundred thirty-four million, five hundred thirty-one thousand, three hundred ninety-two".