49566400 has 84 divisors (see below), whose sum is σ = 131401312. Its totient is φ = 18293760.

The previous prime is 49566397. The next prime is 49566409. The reversal of 49566400 is 466594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49566409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19609 + ... + 21991.

Almost surely, 2^49566400 is an apocalyptic number.

49566400 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 49566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65700656).

49566400 is an abundant number, since it is smaller than the sum of its proper divisors (81834912).

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

49566400 is a wasteful number, since it uses less digits than its factorization.

49566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 49566400 is about 7040.3409008371. The cubic root of 49566400 is about 367.3351258820.

The spelling of 49566400 in words is "forty-nine million, five hundred sixty-six thousand, four hundred".