398566656 has 216 divisors, whose sum is σ = 1227626400. Its totient is φ = 128894976.

The previous prime is 398566643. The next prime is 398566661. The reversal of 398566656 is 656665893.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2674870 + ... + 2675018.

Almost surely, 2^398566656 is an apocalyptic number.

398566656 is a gapful number since it is divisible by the number (36) 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 398566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613813200).

398566656 is an abundant number, since it is smaller than the sum of its proper divisors (829059744).

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

398566656 is an equidigital number, since it uses as much as digits as its factorization.

398566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 398566656 is about 19964.1342411836. The cubic root of 398566656 is about 735.9251656742.

The spelling of 398566656 in words is "three hundred ninety-eight million, five hundred sixty-six thousand, six hundred fifty-six".