49508820 has 144 divisors (see below), whose sum is σ = 159239808. Its totient is φ = 12908160.

The previous prime is 49508807. The next prime is 49508821. The reversal of 49508820 is 2880594.

It is a super-2 number, since 2×49508820² = 4902246515584800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49508821) 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, 296377 + ... + 296543.

It is an arithmetic number, because the mean of its divisors is an integer number (1105832).

Almost surely, 2^49508820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49508820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

49508820 is an abundant number, since it is smaller than the sum of its proper divisors (109730988).

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

49508820 is a wasteful number, since it uses less digits than its factorization.

49508820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 49508820 is about 7036.2504219222. The cubic root of 49508820 is about 367.1928295409.

The spelling of 49508820 in words is "forty-nine million, five hundred eight thousand, eight hundred twenty".