536264400 has 120 divisors (see below), whose sum is σ = 1963269184. Its totient is φ = 122572800.

The previous prime is 536264387. The next prime is 536264459. The reversal of 536264400 is 4462635.

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

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

It is a congruent number.

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, 23521 + ... + 40320.

Almost surely, 2^536264400 is an apocalyptic number.

536264400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536264400 is an abundant number, since it is smaller than the sum of its proper divisors (1427004784).

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

536264400 is a wasteful number, since it uses less digits than its factorization.

536264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63869 (or 63858 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 536264400 is about 23157.3832718639. The cubic root of 536264400 is about 812.4431644662.

The spelling of 536264400 in words is "five hundred thirty-six million, two hundred sixty-four thousand, four hundred".