46906800 has 60 divisors (see below), whose sum is σ = 150261960. Its totient is φ = 12508160.

The previous prime is 46906781. The next prime is 46906817. The reversal of 46906800 is 860964.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18345 + ... + 20744.

It is an arithmetic number, because the mean of its divisors is an integer number (2504366).

Almost surely, 2^46906800 is an apocalyptic number.

46906800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46906800 is an abundant number, since it is smaller than the sum of its proper divisors (103355160).

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

46906800 is a wasteful number, since it uses less digits than its factorization.

46906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39110 (or 39099 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 46906800 is about 6848.8539187225. The cubic root of 46906800 is about 360.6439093217.

The spelling of 46906800 in words is "forty-six million, nine hundred six thousand, eight hundred".