398272896 has 256 divisors, whose sum is σ = 1365004800. Its totient is φ = 111974400.

The previous prime is 398272879. The next prime is 398272913. The reversal of 398272896 is 698272893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (398272879) and next prime (398272913).

It is a super-3 number, since 3×398272896³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443311 + ... + 2443473.

It is an arithmetic number, because the mean of its divisors is an integer number (5332050).

Almost surely, 2^398272896 is an apocalyptic number.

398272896 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 398272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682502400).

398272896 is an abundant number, since it is smaller than the sum of its proper divisors (966731904).

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

398272896 is a wasteful number, since it uses less digits than its factorization.

398272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 398272896 is about 19956.7756914788. The cubic root of 398272896 is about 735.7443188760.

The spelling of 398272896 in words is "three hundred ninety-eight million, two hundred seventy-two thousand, eight hundred ninety-six".