398901620520 has 192 divisors, whose sum is σ = 1411844288400. Its totient is φ = 97087795200.

The previous prime is 398901620483. The next prime is 398901620531. The reversal of 398901620520 is 25026109893.

398901620520 is a `hidden beast` number, since 3 + 9 + 8 + 90 + 16 + 20 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 145604822724 + 253296797796 = 381582^2 + 503286^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62331 + ... + 895370.

Almost surely, 2^398901620520 is an apocalyptic number.

398901620520 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 398901620520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705922144200).

398901620520 is an abundant number, since it is smaller than the sum of its proper divisors (1012942667880).

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

398901620520 is a wasteful number, since it uses less digits than its factorization.

398901620520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957820 (or 957813 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 398901620520 in words is "three hundred ninety-eight billion, nine hundred one million, six hundred twenty thousand, five hundred twenty".