537860400 has 240 divisors, whose sum is σ = 2148457728. Its totient is φ = 111744000.

The previous prime is 537860381. The next prime is 537860437. The reversal of 537860400 is 4068735.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 89490 + ... + 95310.

Almost surely, 2^537860400 is an apocalyptic number.

537860400 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 537860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074228864).

537860400 is an abundant number, since it is smaller than the sum of its proper divisors (1610597328).

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

537860400 is a wasteful number, since it uses less digits than its factorization.

537860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 537860400 is about 23191.8175225660. The cubic root of 537860400 is about 813.2483487900.

The spelling of 537860400 in words is "five hundred thirty-seven million, eight hundred sixty thousand, four hundred".