527497920 has 280 divisors, whose sum is σ = 1920752064. Its totient is φ = 137355264.

The previous prime is 527497903. The next prime is 527497921. The reversal of 527497920 is 29794725.

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

It is not an unprimeable number, because it can be changed into a prime (527497921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1218024 + ... + 1218456.

Almost surely, 2^527497920 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 527497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960376032).

527497920 is an abundant number, since it is smaller than the sum of its proper divisors (1393254144).

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

527497920 is a wasteful number, since it uses less digits than its factorization.

527497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 527497920 is about 22967.3228740313. The cubic root of 527497920 is about 807.9917327521.

The spelling of 527497920 in words is "five hundred twenty-seven million, four hundred ninety-seven thousand, nine hundred twenty".