536801400 has 72 divisors (see below), whose sum is σ = 1802764080. Its totient is φ = 143146560.

The previous prime is 536801399. The next prime is 536801467. The reversal of 536801400 is 4108635.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147312 + ... + 150911.

It is an arithmetic number, because the mean of its divisors is an integer number (25038390).

Almost surely, 2^536801400 is an apocalyptic number.

536801400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536801400 is an abundant number, since it is smaller than the sum of its proper divisors (1265962680).

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

536801400 is a wasteful number, since it uses less digits than its factorization.

536801400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298245 (or 298233 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 536801400 is about 23168.9749449560. The cubic root of 536801400 is about 812.7142598646.

The spelling of 536801400 in words is "five hundred thirty-six million, eight hundred one thousand, four hundred".