49257360 has 180 divisors, whose sum is σ = 173936412. Its totient is φ = 12483072.

The previous prime is 49257349. The next prime is 49257361. The reversal of 49257360 is 6375294.

49257360 is a `hidden beast` number, since 49 + 257 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32216976 + 17040384 = 5676^2 + 4128^2 .

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 not an unprimeable number, because it can be changed into a prime (49257361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1145499 + ... + 1145541.

Almost surely, 2^49257360 is an apocalyptic number.

49257360 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 49257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86968206).

49257360 is an abundant number, since it is smaller than the sum of its proper divisors (124679052).

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

49257360 is a wasteful number, since it uses less digits than its factorization.

49257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 49257360 is about 7018.3587825075. The cubic root of 49257360 is about 366.5701049676.

The spelling of 49257360 in words is "forty-nine million, two hundred fifty-seven thousand, three hundred sixty".