49291920 has 120 divisors (see below), whose sum is σ = 166822656. Its totient is φ = 13042944.

The previous prime is 49291883. The next prime is 49291927. The reversal of 49291920 is 2919294.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49291927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160407 + ... + 160713.

Almost surely, 2^49291920 is an apocalyptic number.

49291920 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 49291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83411328).

49291920 is an abundant number, since it is smaller than the sum of its proper divisors (117530736).

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

49291920 is a wasteful number, since it uses less digits than its factorization.

49291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 49291920 is about 7020.8204648745. The cubic root of 49291920 is about 366.6558160242.

The spelling of 49291920 in words is "forty-nine million, two hundred ninety-one thousand, nine hundred twenty".