49664480 has 144 divisors (see below), whose sum is σ = 135127440. Its totient is φ = 17141760.

The previous prime is 49664467. The next prime is 49664491. The reversal of 49664480 is 8446694.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602065 + ... + 1602095.

It is an arithmetic number, because the mean of its divisors is an integer number (938385).

Almost surely, 2^49664480 is an apocalyptic number.

49664480 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 49664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67563720).

49664480 is an abundant number, since it is smaller than the sum of its proper divisors (85462960).

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

49664480 is a wasteful number, since it uses less digits than its factorization.

49664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 49664480 is about 7047.3030302379. The cubic root of 49664480 is about 367.5772555740.

The spelling of 49664480 in words is "forty-nine million, six hundred sixty-four thousand, four hundred eighty".