46878800 has 60 divisors (see below), whose sum is σ = 113474880. Its totient is φ = 18610560.

The previous prime is 46878773. The next prime is 46878803. The reversal of 46878800 is 887864.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46878803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64841 + ... + 65559.

It is an arithmetic number, because the mean of its divisors is an integer number (1891248).

Almost surely, 2^46878800 is an apocalyptic number.

46878800 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 46878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56737440).

46878800 is an abundant number, since it is smaller than the sum of its proper divisors (66596080).

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

46878800 is a wasteful number, since it uses less digits than its factorization.

46878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 46878800 is about 6846.8094759530. The cubic root of 46878800 is about 360.5721355107.

The spelling of 46878800 in words is "forty-six million, eight hundred seventy-eight thousand, eight hundred".