398077283520 has 672 divisors, whose sum is σ = 1622745446400. Its totient is φ = 87636713472.

The previous prime is 398077283509. The next prime is 398077283533. The reversal of 398077283520 is 25382770893.

398077283520 is a `hidden beast` number, since 3 + 98 + 0 + 7 + 7 + 28 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420355687 + ... + 420356633.

Almost surely, 2^398077283520 is an apocalyptic number.

398077283520 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 398077283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811372723200).

398077283520 is an abundant number, since it is smaller than the sum of its proper divisors (1224668162880).

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

398077283520 is a wasteful number, since it uses less digits than its factorization.

398077283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 398077283520 in words is "three hundred ninety-eight billion, seventy-seven million, two hundred eighty-three thousand, five hundred twenty".