49319600 has 90 divisors (see below), whose sum is σ = 130369260. Its totient is φ = 17916800.

The previous prime is 49319579. The next prime is 49319623. The reversal of 49319600 is 691394.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47891 + ... + 48909.

Almost surely, 2^49319600 is an apocalyptic number.

49319600 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 49319600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65184630).

49319600 is an abundant number, since it is smaller than the sum of its proper divisors (81049660).

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

49319600 is a wasteful number, since it uses less digits than its factorization.

49319600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 49319600 is about 7022.7914677854. The cubic root of 49319600 is about 366.7244353425.

The spelling of 49319600 in words is "forty-nine million, three hundred nineteen thousand, six hundred".