49357600 has 72 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 19518720.

The previous prime is 49357543. The next prime is 49357603. The reversal of 49357600 is 675394.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49357603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82101 + ... + 82699.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^49357600 is an apocalyptic number.

49357600 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 49357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

49357600 is an abundant number, since it is smaller than the sum of its proper divisors (72509600).

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

49357600 is a wasteful number, since it uses less digits than its factorization.

49357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 49357600 is about 7025.4964237412. The cubic root of 49357600 is about 366.8185963592.

The spelling of 49357600 in words is "forty-nine million, three hundred fifty-seven thousand, six hundred".