49597200 has 180 divisors, whose sum is σ = 179899200. Its totient is φ = 12629760.

The previous prime is 49597199. The next prime is 49597237. The reversal of 49597200 is 279594.

49597200 is a `hidden beast` number, since 49 + 597 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82501 + ... + 83099.

It is an arithmetic number, because the mean of its divisors is an integer number (999440).

Almost surely, 2^49597200 is an apocalyptic number.

49597200 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 49597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89949600).

49597200 is an abundant number, since it is smaller than the sum of its proper divisors (130302000).

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

49597200 is a wasteful number, since it uses less digits than its factorization.

49597200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 49597200 is about 7042.5279552161. The cubic root of 49597200 is about 367.4111960911.

The spelling of 49597200 in words is "forty-nine million, five hundred ninety-seven thousand, two hundred".