49890960 has 240 divisors, whose sum is σ = 201951360. Its totient is φ = 10782720.

The previous prime is 49890959. The next prime is 49890961. The reversal of 49890960 is 6909894.

It is an interprime number because it is at equal distance from previous prime (49890959) and next prime (49890961).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (49890961) 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, 95500 + ... + 96020.

It is an arithmetic number, because the mean of its divisors is an integer number (841464).

Almost surely, 2^49890960 is an apocalyptic number.

49890960 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 49890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100975680).

49890960 is an abundant number, since it is smaller than the sum of its proper divisors (152060400).

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

49890960 is a wasteful number, since it uses less digits than its factorization.

49890960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 49890960 is about 7063.3533112821. The cubic root of 49890960 is about 368.1351504221.

The spelling of 49890960 in words is "forty-nine million, eight hundred ninety thousand, nine hundred sixty".