49527280 has 80 divisors (see below), whose sum is σ = 131134464. Its totient is φ = 17219840.

The previous prime is 49527277. The next prime is 49527299. The reversal of 49527280 is 8272594.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) 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 15 ways as a sum of consecutive naturals, for example, 19017 + ... + 21463.

Almost surely, 2^49527280 is an apocalyptic number.

49527280 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 49527280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65567232).

49527280 is an abundant number, since it is smaller than the sum of its proper divisors (81607184).

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

49527280 is a wasteful number, since it uses less digits than its factorization.

49527280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 49527280 is about 7037.5620778790. The cubic root of 49527280 is about 367.2384613922.

The spelling of 49527280 in words is "forty-nine million, five hundred twenty-seven thousand, two hundred eighty".