398884993920 has 288 divisors, whose sum is σ = 1602282469320. Its totient is φ = 91173648384.

The previous prime is 398884993891. The next prime is 398884993943. The reversal of 398884993920 is 29399488893.

398884993920 is a `hidden beast` number, since 3 + 9 + 8 + 88 + 499 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424402 + ... + 988881.

Almost surely, 2^398884993920 is an apocalyptic number.

398884993920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398884993920 is an abundant number, since it is smaller than the sum of its proper divisors (1203397475400).

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

398884993920 is a wasteful number, since it uses less digits than its factorization.

398884993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413322 (or 1413300 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 398884993920 in words is "three hundred ninety-eight billion, eight hundred eighty-four million, nine hundred ninety-three thousand, nine hundred twenty".