525948480 has 336 divisors, whose sum is σ = 1924775424. Its totient is φ = 131604480.

The previous prime is 525948473. The next prime is 525948491. The reversal of 525948480 is 84849525.

525948480 is a `hidden beast` number, since 52 + 594 + 8 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×525948480² = 553243607228620800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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, 3838972 + ... + 3839108.

Almost surely, 2^525948480 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 525948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962387712).

525948480 is an abundant number, since it is smaller than the sum of its proper divisors (1398826944).

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

525948480 is a wasteful number, since it uses less digits than its factorization.

525948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 525948480 is about 22933.5666654797. The cubic root of 525948480 is about 807.1998417938.

The spelling of 525948480 in words is "five hundred twenty-five million, nine hundred forty-eight thousand, four hundred eighty".