525470400 has 504 divisors, whose sum is σ = 2304373344. Its totient is φ = 110592000.

The previous prime is 525470381. The next prime is 525470417. The reversal of 525470400 is 4074525.

525470400 is a `hidden beast` number, since 5 + 254 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×525470400² = 552238282552320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310200 + ... + 1310600.

Almost surely, 2^525470400 is an apocalyptic number.

525470400 is a gapful number since it is divisible by the number (50) 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 525470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152186672).

525470400 is an abundant number, since it is smaller than the sum of its proper divisors (1778902944).

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

525470400 is a wasteful number, since it uses less digits than its factorization.

525470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 525470400 is about 22923.1411460123. The cubic root of 525470400 is about 806.9551897655.

The spelling of 525470400 in words is "five hundred twenty-five million, four hundred seventy thousand, four hundred".