527404400 has 60 divisors (see below), whose sum is σ = 1272579264. Its totient is φ = 210048000.

The previous prime is 527404351. The next prime is 527404403. The reversal of 527404400 is 4404725.

It is a super-3 number, since 3×527404400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 527404400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527404403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93665 + ... + 99135.

Almost surely, 2^527404400 is an apocalyptic number.

527404400 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 527404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636289632).

527404400 is an abundant number, since it is smaller than the sum of its proper divisors (745174864).

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

527404400 is a wasteful number, since it uses less digits than its factorization.

527404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 527404400 is about 22965.2868477622. The cubic root of 527404400 is about 807.9439803661.

The spelling of 527404400 in words is "five hundred twenty-seven million, four hundred four thousand, four hundred".