49320960 has 264 divisors, whose sum is σ = 179808480. Its totient is φ = 11501568.

The previous prime is 49320919. The next prime is 49320977. The reversal of 49320960 is 6902394.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595831 + ... + 2595849.

Almost surely, 2^49320960 is an apocalyptic number.

49320960 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 49320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89904240).

49320960 is an abundant number, since it is smaller than the sum of its proper divisors (130487520).

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

49320960 is a wasteful number, since it uses less digits than its factorization.

49320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 49320960 is about 7022.8882947118. Note that the first 3 decimals coincide. The cubic root of 49320960 is about 366.7278061501.

The spelling of 49320960 in words is "forty-nine million, three hundred twenty thousand, nine hundred sixty".