46874400 has 72 divisors (see below), whose sum is σ = 152583984. Its totient is φ = 12499200.

The previous prime is 46874383. The next prime is 46874447. The reversal of 46874400 is 447864.

46874400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7366 + ... + 12165.

It is an arithmetic number, because the mean of its divisors is an integer number (2119222).

Almost surely, 2^46874400 is an apocalyptic number.

46874400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46874400 is an abundant number, since it is smaller than the sum of its proper divisors (105709584).

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

46874400 is a wasteful number, since it uses less digits than its factorization.

46874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19554 (or 19541 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 46874400 is about 6846.4881508698. The cubic root of 46874400 is about 360.5608541707.

It can be divided in two parts, 46874 and 400, that added together give a palindrome (47274).

The spelling of 46874400 in words is "forty-six million, eight hundred seventy-four thousand, four hundred".