49669920 has 144 divisors (see below), whose sum is σ = 179557560. Its totient is φ = 12460032.

The previous prime is 49669913. The next prime is 49669943. The reversal of 49669920 is 2996694.

It can be written as a sum of positive squares in 4 ways, for example, as 49617936 + 51984 = 7044^2 + 228^2 .

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 23 ways as a sum of consecutive naturals, for example, 23466 + ... + 25494.

Almost surely, 2^49669920 is an apocalyptic number.

49669920 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 49669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89778780).

49669920 is an abundant number, since it is smaller than the sum of its proper divisors (129887640).

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

49669920 is a wasteful number, since it uses less digits than its factorization.

49669920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 49669920 is about 7047.6889829220. The cubic root of 49669920 is about 367.5906759452.

The spelling of 49669920 in words is "forty-nine million, six hundred sixty-nine thousand, nine hundred twenty".