397528560 has 540 divisors, whose sum is σ = 1647847656. Its totient is φ = 88957440.

The previous prime is 397528541. The next prime is 397528589. The reversal of 397528560 is 65825793.

It is a happy number.

397528560 is a `hidden beast` number, since 39 + 7 + 52 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30579114 + ... + 30579126.

Almost surely, 2^397528560 is an apocalyptic number.

397528560 is a gapful number since it is divisible by the number (30) 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 397528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823923828).

397528560 is an abundant number, since it is smaller than the sum of its proper divisors (1250319096).

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

397528560 is a wasteful number, since it uses less digits than its factorization.

397528560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 397528560 is about 19938.1182662758. The cubic root of 397528560 is about 735.2856865267.

The spelling of 397528560 in words is "three hundred ninety-seven million, five hundred twenty-eight thousand, five hundred sixty".