537968400 has 120 divisors (see below), whose sum is σ = 1824731424. Its totient is φ = 135014400.

The previous prime is 537968377. The next prime is 537968411. The reversal of 537968400 is 4869735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7215 + ... + 33585.

Almost surely, 2^537968400 is an apocalyptic number.

537968400 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 537968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912365712).

537968400 is an abundant number, since it is smaller than the sum of its proper divisors (1286763024).

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

537968400 is a wasteful number, since it uses less digits than its factorization.

537968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26409 (or 26398 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 537968400 is about 23194.1458131141. The cubic root of 537968400 is about 813.3027773764.

The spelling of 537968400 in words is "five hundred thirty-seven million, nine hundred sixty-eight thousand, four hundred".