49180320 has 432 divisors, whose sum is σ = 211754088. Its totient is φ = 10321920.

The previous prime is 49180309. The next prime is 49180321. The reversal of 49180320 is 2308194.

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 15586704 = 5796^2 + 3948^2 .

It is not an unprimeable number, because it can be changed into a prime (49180321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199500 + ... + 1199540.

Almost surely, 2^49180320 is an apocalyptic number.

49180320 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 49180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105877044).

49180320 is an abundant number, since it is smaller than the sum of its proper divisors (162573768).

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

49180320 is a wasteful number, since it uses less digits than its factorization.

49180320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49180320 is about 7012.8681721532. The cubic root of 49180320 is about 366.3788963392.

The spelling of 49180320 in words is "forty-nine million, one hundred eighty thousand, three hundred twenty".