49353920 has 112 divisors (see below), whose sum is σ = 146596608. Its totient is φ = 15375360.

The previous prime is 49353919. The next prime is 49353923. The reversal of 49353920 is 2935394.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49353923) 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, 23639 + ... + 25641.

Almost surely, 2^49353920 is an apocalyptic number.

49353920 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 49353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73298304).

49353920 is an abundant number, since it is smaller than the sum of its proper divisors (97242688).

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

49353920 is a wasteful number, since it uses less digits than its factorization.

49353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 49353920 is about 7025.2345156585. The cubic root of 49353920 is about 366.8094797220.

The spelling of 49353920 in words is "forty-nine million, three hundred fifty-three thousand, nine hundred twenty".