49558680 has 192 divisors, whose sum is σ = 171849600. Its totient is φ = 12364800.

The previous prime is 49558679. The next prime is 49558687. The reversal of 49558680 is 8685594.

49558680 is a `hidden beast` number, since 495 + 5 + 86 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49558687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490630 + ... + 490730.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^49558680 is an apocalyptic number.

49558680 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 49558680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

49558680 is an abundant number, since it is smaller than the sum of its proper divisors (122290920).

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

49558680 is a wasteful number, since it uses less digits than its factorization.

49558680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 49558680 is about 7039.7926105816. The cubic root of 49558680 is about 367.3160539945.

The spelling of 49558680 in words is "forty-nine million, five hundred fifty-eight thousand, six hundred eighty".