46922400 has 432 divisors, whose sum is σ = 203112000. Its totient is φ = 10160640.

The previous prime is 46922399. The next prime is 46922413. The reversal of 46922400 is 422964.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2469591 + ... + 2469609.

Almost surely, 2^46922400 is an apocalyptic number.

46922400 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 46922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556000).

46922400 is an abundant number, since it is smaller than the sum of its proper divisors (156189600).

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

46922400 is a wasteful number, since it uses less digits than its factorization.

46922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46922400 is about 6849.9927007260. The cubic root of 46922400 is about 360.6838851987.

The spelling of 46922400 in words is "forty-six million, nine hundred twenty-two thousand, four hundred".