536294400 has 132 divisors (see below), whose sum is σ = 1772734752. Its totient is φ = 142991360.

The previous prime is 536294383. The next prime is 536294411. The reversal of 536294400 is 4492635.

It is a super-2 number, since 2×536294400² = 575223366942720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73309 + ... + 80291.

Almost surely, 2^536294400 is an apocalyptic number.

536294400 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 536294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886367376).

536294400 is an abundant number, since it is smaller than the sum of its proper divisors (1236440352).

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

536294400 is a wasteful number, since it uses less digits than its factorization.

536294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 536294400 is about 23158.0310043838. The cubic root of 536294400 is about 812.4583142321.

The spelling of 536294400 in words is "five hundred thirty-six million, two hundred ninety-four thousand, four hundred".