537290400 has 144 divisors (see below), whose sum is σ = 1758824928. Its totient is φ = 142464000.

The previous prime is 537290399. The next prime is 537290437. The reversal of 537290400 is 4092735.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 505870 + ... + 506930.

It is an arithmetic number, because the mean of its divisors is an integer number (12214062).

Almost surely, 2^537290400 is an apocalyptic number.

537290400 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 537290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879412464).

537290400 is an abundant number, since it is smaller than the sum of its proper divisors (1221534528).

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

537290400 is a wasteful number, since it uses less digits than its factorization.

537290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 537290400 is about 23179.5254481191. The cubic root of 537290400 is about 812.9609660382.

The spelling of 537290400 in words is "five hundred thirty-seven million, two hundred ninety thousand, four hundred".