398263248 has 60 divisors (see below), whose sum is σ = 1140522240. Its totient is φ = 129665088.

The previous prime is 398263213. The next prime is 398263249. The reversal of 398263248 is 842362893.

398263248 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 632 + 4 + 8 = 666.

It is a super-2 number, since 2×398263248² = 317227229415019008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398263249) 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, 25968 + ... + 38351.

It is an arithmetic number, because the mean of its divisors is an integer number (19008704).

Almost surely, 2^398263248 is an apocalyptic number.

It is an amenable number.

398263248 is an abundant number, since it is smaller than the sum of its proper divisors (742258992).

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

398263248 is a wasteful number, since it uses less digits than its factorization.

398263248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64376 (or 64367 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 398263248 is about 19956.5339676007. The cubic root of 398263248 is about 735.7383777917.

The spelling of 398263248 in words is "three hundred ninety-eight million, two hundred sixty-three thousand, two hundred forty-eight".