398914560 has 264 divisors, whose sum is σ = 1509801696. Its totient is φ = 96583680.

The previous prime is 398914547. The next prime is 398914561. The reversal of 398914560 is 65419893.

It is a happy number.

398914560 is a `hidden beast` number, since 3 + 9 + 89 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398914561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506487 + ... + 507273.

Almost surely, 2^398914560 is an apocalyptic number.

398914560 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 398914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754900848).

398914560 is an abundant number, since it is smaller than the sum of its proper divisors (1110887136).

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

398914560 is a wasteful number, since it uses less digits than its factorization.

398914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 808 counting only the distinct ones).

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

The square root of 398914560 is about 19972.8455659177. The cubic root of 398914560 is about 736.1392301187.

The spelling of 398914560 in words is "three hundred ninety-eight million, nine hundred fourteen thousand, five hundred sixty".