49738560 has 112 divisors (see below), whose sum is σ = 159325056. Its totient is φ = 13146112.

The previous prime is 49738547. The next prime is 49738603. The reversal of 49738560 is 6583794.

It is a happy number.

It is a congruent number.

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, 188989 + ... + 189251.

Almost surely, 2^49738560 is an apocalyptic number.

49738560 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 49738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79662528).

49738560 is an abundant number, since it is smaller than the sum of its proper divisors (109586496).

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

49738560 is a wasteful number, since it uses less digits than its factorization.

49738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 49738560 is about 7052.5569831090. The cubic root of 49738560 is about 367.7599253305.

The spelling of 49738560 in words is "forty-nine million, seven hundred thirty-eight thousand, five hundred sixty".