525380400 has 180 divisors, whose sum is σ = 1919424520. Its totient is φ = 132710400.

The previous prime is 525380389. The next prime is 525380411. The reversal of 525380400 is 4083525.

525380400 is a `hidden beast` number, since 5 + 253 + 8 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (525380389) and next prime (525380411).

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64560 + ... + 72240.

Almost surely, 2^525380400 is an apocalyptic number.

525380400 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 525380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959712260).

525380400 is an abundant number, since it is smaller than the sum of its proper divisors (1394044120).

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

525380400 is a wasteful number, since it uses less digits than its factorization.

525380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 525380400 is about 22921.1779801999. The cubic root of 525380400 is about 806.9091166890.

The spelling of 525380400 in words is "five hundred twenty-five million, three hundred eighty thousand, four hundred".