536457900 has 72 divisors (see below), whose sum is σ = 1693266624. Its totient is φ = 130049600.

The previous prime is 536457893. The next prime is 536457907. The reversal of 536457900 is 9754635.

It is an interprime number because it is at equal distance from previous prime (536457893) and next prime (536457907).

It is a super-3 number, since 3×536457900³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (536457907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77982 + ... + 84581.

It is an arithmetic number, because the mean of its divisors is an integer number (23517592).

Almost surely, 2^536457900 is an apocalyptic number.

536457900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536457900 is an abundant number, since it is smaller than the sum of its proper divisors (1156808724).

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

536457900 is a wasteful number, since it uses less digits than its factorization.

536457900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162591 (or 162584 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 536457900 is about 23161.5608282344. The cubic root of 536457900 is about 812.5408705279.

The spelling of 536457900 in words is "five hundred thirty-six million, four hundred fifty-seven thousand, nine hundred".