397875072 has 128 divisors (see below), whose sum is σ = 1279031040. Its totient is φ = 106979328.

The previous prime is 397875061. The next prime is 397875083. The reversal of 397875072 is 270578793.

It is an interprime number because it is at equal distance from previous prime (397875061) and next prime (397875083).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41343 + ... + 50049.

It is an arithmetic number, because the mean of its divisors is an integer number (9992430).

Almost surely, 2^397875072 is an apocalyptic number.

397875072 is a gapful number since it is divisible by the number (32) 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 397875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639515520).

397875072 is an abundant number, since it is smaller than the sum of its proper divisors (881155968).

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

397875072 is a wasteful number, since it uses less digits than its factorization.

397875072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The square root of 397875072 is about 19946.8060601190. The cubic root of 397875072 is about 735.4992655799.

The spelling of 397875072 in words is "three hundred ninety-seven million, eight hundred seventy-five thousand, seventy-two".