46456800 has 144 divisors (see below), whose sum is σ = 162958320. Its totient is φ = 11427840.

The previous prime is 46456799. The next prime is 46456829. The reversal of 46456800 is 865464.

It is a happy number.

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, 30456 + ... + 31944.

It is an arithmetic number, because the mean of its divisors is an integer number (1131655).

Almost surely, 2^46456800 is an apocalyptic number.

46456800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81479160).

46456800 is an abundant number, since it is smaller than the sum of its proper divisors (116501520).

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

46456800 is a wasteful number, since it uses less digits than its factorization.

46456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 46456800 is about 6815.9225347711. The cubic root of 46456800 is about 359.4869234251.

The spelling of 46456800 in words is "forty-six million, four hundred fifty-six thousand, eight hundred".