438400245924 has 81 divisors (see below), whose sum is σ = 1115588369259. Its totient is φ = 145162750320.

The previous prime is 438400245917. The next prime is 438400245947. The reversal of 438400245924 is 429542004834.

The square root of 438400245924 is 662118.

It is a perfect power (a square), and thus also a powerful number.

438400245924 is a `hidden beast` number, since 4 + 38 + 4 + 0 + 0 + 24 + 592 + 4 = 666.

It is a super-3 number, since 3×438400245924³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 438400245924.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 838241127 + ... + 838241649.

Almost surely, 2^438400245924 is an apocalyptic number.

438400245924 is the 662118-th square number.

It is an amenable number.

438400245924 is an abundant number, since it is smaller than the sum of its proper divisors (677188123335).

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

438400245924 is an equidigital number, since it uses as much as digits as its factorization.

438400245924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 438400245924 in words is "four hundred thirty-eight billion, four hundred million, two hundred forty-five thousand, nine hundred twenty-four".