49580840 has 48 divisors (see below), whose sum is σ = 118532700. Its totient is φ = 18661376.

The previous prime is 49580837. The next prime is 49580863. The reversal of 49580840 is 4808594.

It can be written as a sum of positive squares in 6 ways, for example, as 45508516 + 4072324 = 6746^2 + 2018^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49580794 and 49580803.

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, 9416 + ... + 13704.

Almost surely, 2^49580840 is an apocalyptic number.

49580840 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 49580840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59266350).

49580840 is an abundant number, since it is smaller than the sum of its proper divisors (68951860).

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

49580840 is a wasteful number, since it uses less digits than its factorization.

49580840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 49580840 is about 7041.3663446806. The cubic root of 49580840 is about 367.3707938897.

The spelling of 49580840 in words is "forty-nine million, five hundred eighty thousand, eight hundred forty".