398624976 has 240 divisors, whose sum is σ = 1265793984. Its totient is φ = 120932352.

The previous prime is 398624957. The next prime is 398624987. The reversal of 398624976 is 679426893.

It is a happy number.

398624976 is a `hidden beast` number, since 3 + 9 + 8 + 624 + 9 + 7 + 6 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445471 + ... + 2445633.

Almost surely, 2^398624976 is an apocalyptic number.

398624976 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 398624976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632896992).

398624976 is an abundant number, since it is smaller than the sum of its proper divisors (867169008).

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

398624976 is a wasteful number, since it uses less digits than its factorization.

398624976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 398624976 is about 19965.5948070675. The cubic root of 398624976 is about 735.9610585099.

The spelling of 398624976 in words is "three hundred ninety-eight million, six hundred twenty-four thousand, nine hundred seventy-six".