397517120 has 448 divisors, whose sum is σ = 1364138496. Its totient is φ = 106168320.

The previous prime is 397517111. The next prime is 397517167. The reversal of 397517120 is 21715793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5445404 + ... + 5445476.

It is an arithmetic number, because the mean of its divisors is an integer number (3044952).

Almost surely, 2^397517120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682069248).

397517120 is an abundant number, since it is smaller than the sum of its proper divisors (966621376).

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

397517120 is a wasteful number, since it uses less digits than its factorization.

397517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 397517120 is about 19937.8313765565. The cubic root of 397517120 is about 735.2786331560.

The spelling of 397517120 in words is "three hundred ninety-seven million, five hundred seventeen thousand, one hundred twenty".