524724480 has 432 divisors, whose sum is σ = 2160622464. Its totient is φ = 119439360.

The previous prime is 524724479. The next prime is 524724587. The reversal of 524724480 is 84427425.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×524724480² = 550671559822540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177160 + ... + 2177400.

Almost surely, 2^524724480 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 524724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080311232).

524724480 is an abundant number, since it is smaller than the sum of its proper divisors (1635897984).

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

524724480 is an equidigital number, since it uses as much as digits as its factorization.

524724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 524724480 is about 22906.8653464414. The cubic root of 524724480 is about 806.5731770927.

The spelling of 524724480 in words is "five hundred twenty-four million, seven hundred twenty-four thousand, four hundred eighty".