49858560 has 144 divisors (see below), whose sum is σ = 173120220. Its totient is φ = 13271040.

The previous prime is 49858553. The next prime is 49858577. The reversal of 49858560 is 6585894.

49858560 is a `hidden beast` number, since 4 + 9 + 8 + 585 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49112064 + 746496 = 7008^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 91890 + ... + 92430.

Almost surely, 2^49858560 is an apocalyptic number.

49858560 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 49858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86560110).

49858560 is an abundant number, since it is smaller than the sum of its proper divisors (123261660).

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

49858560 is a wasteful number, since it uses less digits than its factorization.

49858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

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

The square root of 49858560 is about 7061.0594105984. The cubic root of 49858560 is about 368.0554421824.

The spelling of 49858560 in words is "forty-nine million, eight hundred fifty-eight thousand, five hundred sixty".