537465600 has 648 divisors, whose sum is σ = 2319629312. Its totient is φ = 116121600.

The previous prime is 537465581. The next prime is 537465611. The reversal of 537465600 is 6564735.

537465600 is a `hidden beast` number, since 5 + 3 + 7 + 46 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12499179 + ... + 12499221.

Almost surely, 2^537465600 is an apocalyptic number.

537465600 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 537465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159814656).

537465600 is an abundant number, since it is smaller than the sum of its proper divisors (1782163712).

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

537465600 is a wasteful number, since it uses less digits than its factorization.

537465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 537465600 is about 23183.3043373890. The cubic root of 537465600 is about 813.0493200473.

The spelling of 537465600 in words is "five hundred thirty-seven million, four hundred sixty-five thousand, six hundred".