49295920 has 80 divisors (see below), whose sum is σ = 123393888. Its totient is φ = 18247680.

The previous prime is 49295879. The next prime is 49295929. The reversal of 49295920 is 2959294.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49295929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90850 + ... + 91390.

Almost surely, 2^49295920 is an apocalyptic number.

49295920 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 49295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61696944).

49295920 is an abundant number, since it is smaller than the sum of its proper divisors (74097968).

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

49295920 is a wasteful number, since it uses less digits than its factorization.

49295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 49295920 is about 7021.1053260865. The cubic root of 49295920 is about 366.6657336983.

The spelling of 49295920 in words is "forty-nine million, two hundred ninety-five thousand, nine hundred twenty".