49678800 has 60 divisors (see below), whose sum is σ = 159141600. Its totient is φ = 13247360.

The previous prime is 49678793. The next prime is 49678813. The reversal of 49678800 is 887694.

It is a happy number.

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

It is a congruent number.

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, 19500 + ... + 21899.

It is an arithmetic number, because the mean of its divisors is an integer number (2652360).

Almost surely, 2^49678800 is an apocalyptic number.

49678800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49678800 is an abundant number, since it is smaller than the sum of its proper divisors (109462800).

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

49678800 is a wasteful number, since it uses less digits than its factorization.

49678800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41420 (or 41409 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 49678800 is about 7048.3189485153. The cubic root of 49678800 is about 367.6125806224.

The spelling of 49678800 in words is "forty-nine million, six hundred seventy-eight thousand, eight hundred".