398393952 has 72 divisors (see below), whose sum is σ = 1149531768. Its totient is φ = 120721920.

The previous prime is 398393903. The next prime is 398393959. The reversal of 398393952 is 259393893.

It is a junction number, because it is equal to n+sod(n) for n = 398393895 and 398393904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398393959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5533 + ... + 28764.

It is an arithmetic number, because the mean of its divisors is an integer number (15965719).

Almost surely, 2^398393952 is an apocalyptic number.

398393952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

398393952 is an abundant number, since it is smaller than the sum of its proper divisors (751137816).

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

398393952 is a wasteful number, since it uses less digits than its factorization.

398393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34332 (or 34313 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 51.

The square root of 398393952 is about 19959.8084159142. The cubic root of 398393952 is about 735.8188550736.

The spelling of 398393952 in words is "three hundred ninety-eight million, three hundred ninety-three thousand, nine hundred fifty-two".