398762496 has 120 divisors (see below), whose sum is σ = 1255638384. Its totient is φ = 120821760.

The previous prime is 398762479. The next prime is 398762503. The reversal of 398762496 is 694267893.

It is a happy number.

398762496 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 624 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46755 + ... + 54621.

Almost surely, 2^398762496 is an apocalyptic number.

398762496 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 398762496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627819192).

398762496 is an abundant number, since it is smaller than the sum of its proper divisors (856875888).

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

398762496 is a wasteful number, since it uses less digits than its factorization.

398762496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7883 counting only the distinct ones).

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

The square root of 398762496 is about 19969.0384345366. The cubic root of 398762496 is about 736.0456808446.

The spelling of 398762496 in words is "three hundred ninety-eight million, seven hundred sixty-two thousand, four hundred ninety-six".