49413600 has 108 divisors (see below), whose sum is σ = 174270096. Its totient is φ = 13175040.

The previous prime is 49413589. The next prime is 49413607. The reversal of 49413600 is 631494.

49413600 is a `hidden beast` number, since 49 + 4 + 13 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49413607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3769 + ... + 10631.

It is an arithmetic number, because the mean of its divisors is an integer number (1613612).

Almost surely, 2^49413600 is an apocalyptic number.

49413600 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 49413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87135048).

49413600 is an abundant number, since it is smaller than the sum of its proper divisors (124856496).

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

49413600 is a wasteful number, since it uses less digits than its factorization.

49413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6889 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49413600 is about 7029.4807774117. The cubic root of 49413600 is about 366.9572719128.

The spelling of 49413600 in words is "forty-nine million, four hundred thirteen thousand, six hundred".