49656000 has 112 divisors (see below), whose sum is σ = 164043360. Its totient is φ = 13235200.

The previous prime is 49655999. The next prime is 49656049. The reversal of 49656000 is 65694.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22966 + ... + 25034.

Almost surely, 2^49656000 is an apocalyptic number.

49656000 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 49656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82021680).

49656000 is an abundant number, since it is smaller than the sum of its proper divisors (114387360).

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

49656000 is a wasteful number, since it uses less digits than its factorization.

49656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 49656000 is about 7046.7013559537. The cubic root of 49656000 is about 367.5563336290.

The spelling of 49656000 in words is "forty-nine million, six hundred fifty-six thousand".