49352800 has 108 divisors (see below), whose sum is σ = 140264460. Its totient is φ = 16907520.

The previous prime is 49352789. The next prime is 49352827. The reversal of 49352800 is 825394.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 38571 + ... + 39829.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^49352800 is an apocalyptic number.

49352800 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 49352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70132230).

49352800 is an abundant number, since it is smaller than the sum of its proper divisors (90911660).

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

49352800 is a wasteful number, since it uses less digits than its factorization.

49352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 49352800 is about 7025.1548025649. The cubic root of 49352800 is about 366.8067050034.

The spelling of 49352800 in words is "forty-nine million, three hundred fifty-two thousand, eight hundred".