398099520 has 672 divisors, whose sum is σ = 1775155200. Its totient is φ = 81285120.

The previous prime is 398099519. The next prime is 398099531. The reversal of 398099520 is 25990893.

398099520 is a `hidden beast` number, since 39 + 8 + 0 + 99 + 520 = 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 (45).

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, 12841905 + ... + 12841935.

It is an arithmetic number, because the mean of its divisors is an integer number (2641600).

Almost surely, 2^398099520 is an apocalyptic number.

398099520 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 398099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887577600).

398099520 is an abundant number, since it is smaller than the sum of its proper divisors (1377055680).

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

398099520 is a wasteful number, since it uses less digits than its factorization.

398099520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 398099520 is about 19952.4314307806. The cubic root of 398099520 is about 735.6375420715.

The spelling of 398099520 in words is "three hundred ninety-eight million, ninety-nine thousand, five hundred twenty".