49345920 has 192 divisors, whose sum is σ = 183783600. Its totient is φ = 12128256.

The previous prime is 49345867. The next prime is 49345921. The reversal of 49345920 is 2954394.

It is a tau number, because it is divible by the number of its divisors (192).

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 (49345921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74551 + ... + 75209.

Almost surely, 2^49345920 is an apocalyptic number.

49345920 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 49345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91891800).

49345920 is an abundant number, since it is smaller than the sum of its proper divisors (134437680).

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

49345920 is a wasteful number, since it uses less digits than its factorization.

49345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 49345920 is about 7024.6651165732. The cubic root of 49345920 is about 366.7896593822.

The spelling of 49345920 in words is "forty-nine million, three hundred forty-five thousand, nine hundred twenty".