537750400 has 96 divisors (see below), whose sum is σ = 1449271080. Its totient is φ = 195532800.

The previous prime is 537750329. The next prime is 537750401. The reversal of 537750400 is 4057735.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537750401) 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, 27562 + ... + 42838.

Almost surely, 2^537750400 is an apocalyptic number.

537750400 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 537750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724635540).

537750400 is an abundant number, since it is smaller than the sum of its proper divisors (911520680).

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

537750400 is a wasteful number, since it uses less digits than its factorization.

537750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15312 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 537750400 is about 23189.4458752252. The cubic root of 537750400 is about 813.1929047767.

The spelling of 537750400 in words is "five hundred thirty-seven million, seven hundred fifty thousand, four hundred".