46538400 has 72 divisors (see below), whose sum is σ = 151490304. Its totient is φ = 12409600.

The previous prime is 46538363. The next prime is 46538419. The reversal of 46538400 is 483564.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7296 + ... + 12095.

It is an arithmetic number, because the mean of its divisors is an integer number (2104032).

Almost surely, 2^46538400 is an apocalyptic number.

46538400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46538400 is an abundant number, since it is smaller than the sum of its proper divisors (104951904).

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

46538400 is a wasteful number, since it uses less digits than its factorization.

46538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19414 (or 19401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 46538400 is about 6821.9058920510. The cubic root of 46538400 is about 359.6972763756.

The spelling of 46538400 in words is "forty-six million, five hundred thirty-eight thousand, four hundred".