537212400 has 60 divisors (see below), whose sum is σ = 1720874232. Its totient is φ = 143256320.

The previous prime is 537212369. The next prime is 537212411. The reversal of 537212400 is 4212735.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222639 + ... + 225038.

Almost surely, 2^537212400 is an apocalyptic number.

537212400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

537212400 is an abundant number, since it is smaller than the sum of its proper divisors (1183661832).

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

537212400 is a wasteful number, since it uses less digits than its factorization.

537212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447698 (or 447687 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 537212400 is about 23177.8428677045. The cubic root of 537212400 is about 812.9216241701.

The spelling of 537212400 in words is "five hundred thirty-seven million, two hundred twelve thousand, four hundred".