49260800 has 108 divisors (see below), whose sum is σ = 125460720. Its totient is φ = 19138560.

The previous prime is 49260751. The next prime is 49260833. The reversal of 49260800 is 806294.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275111 + ... + 275289.

Almost surely, 2^49260800 is an apocalyptic number.

49260800 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 49260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62730360).

49260800 is an abundant number, since it is smaller than the sum of its proper divisors (76199920).

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

49260800 is a wasteful number, since it uses less digits than its factorization.

49260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 49260800 is about 7018.6038497696. The cubic root of 49260800 is about 366.5786381885.

The spelling of 49260800 in words is "forty-nine million, two hundred sixty thousand, eight hundred".