525540400 has 240 divisors, whose sum is σ = 1598611968. Its totient is φ = 161280000.

The previous prime is 525540383. The next prime is 525540439. The reversal of 525540400 is 4045525.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 3480325 + ... + 3480475.

Almost surely, 2^525540400 is an apocalyptic number.

525540400 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 525540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799305984).

525540400 is an abundant number, since it is smaller than the sum of its proper divisors (1073071568).

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

525540400 is a wasteful number, since it uses less digits than its factorization.

525540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 525540400 is about 22924.6679365264. The cubic root of 525540400 is about 806.9910207436.

Adding to 525540400 its reverse (4045525), we get a palindrome (529585925).

The spelling of 525540400 in words is "five hundred twenty-five million, five hundred forty thousand, four hundred".