524272320 has 672 divisors, whose sum is σ = 2263322880. Its totient is φ = 109486080.

The previous prime is 524272319. The next prime is 524272381. The reversal of 524272320 is 23272425.

524272320 is a `hidden beast` number, since 5 + 2 + 427 + 232 + 0 = 666.

It is a super-2 number, since 2×524272320² = 549722931036364800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7824927 + ... + 7824993.

It is an arithmetic number, because the mean of its divisors is an integer number (3368040).

Almost surely, 2^524272320 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 524272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131661440).

524272320 is an abundant number, since it is smaller than the sum of its proper divisors (1739050560).

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

524272320 is a wasteful number, since it uses less digits than its factorization.

524272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 524272320 is about 22896.9936891287. The cubic root of 524272320 is about 806.3414332938.

The spelling of 524272320 in words is "five hundred twenty-four million, two hundred seventy-two thousand, three hundred twenty".