49597920 has 240 divisors, whose sum is σ = 181122480. Its totient is φ = 12773376.

The previous prime is 49597909. The next prime is 49597921. The reversal of 49597920 is 2979594.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49597921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 557236 + ... + 557324.

It is an arithmetic number, because the mean of its divisors is an integer number (754677).

Almost surely, 2^49597920 is an apocalyptic number.

49597920 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 49597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90561240).

49597920 is an abundant number, since it is smaller than the sum of its proper divisors (131524560).

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

49597920 is a wasteful number, since it uses less digits than its factorization.

49597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 49597920 is about 7042.5790730385. The cubic root of 49597920 is about 367.4129739790.

The spelling of 49597920 in words is "forty-nine million, five hundred ninety-seven thousand, nine hundred twenty".