49917120 has 224 divisors, whose sum is σ = 179953920. Its totient is φ = 11612160.

The previous prime is 49917089. The next prime is 49917167. The reversal of 49917120 is 2171994.

49917120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306159 + ... + 306321.

Almost surely, 2^49917120 is an apocalyptic number.

49917120 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 49917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89976960).

49917120 is an abundant number, since it is smaller than the sum of its proper divisors (130036800).

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

49917120 is a wasteful number, since it uses less digits than its factorization.

49917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 49917120 is about 7065.2048802565. The cubic root of 49917120 is about 368.1994822690.

The spelling of 49917120 in words is "forty-nine million, nine hundred seventeen thousand, one hundred twenty".