398904693120 has 384 divisors, whose sum is σ = 1397183074560. Its totient is φ = 104858062848.

The previous prime is 398904693113. The next prime is 398904693157. The reversal of 398904693120 is 21396409893.

398904693120 is a `hidden beast` number, since 3 + 98 + 90 + 469 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×398904693120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355212879 + ... + 355214001.

It is an arithmetic number, because the mean of its divisors is an integer number (3638497590).

Almost surely, 2^398904693120 is an apocalyptic number.

398904693120 is a gapful number since it is divisible by the number (30) 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 398904693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698591537280).

398904693120 is an abundant number, since it is smaller than the sum of its proper divisors (998278381440).

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

398904693120 is a wasteful number, since it uses less digits than its factorization.

398904693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 398904693120 in words is "three hundred ninety-eight billion, nine hundred four million, six hundred ninety-three thousand, one hundred twenty".