49675600 has 120 divisors (see below), whose sum is σ = 132225912. Its totient is φ = 17817600.

The previous prime is 49675597. The next prime is 49675601. The reversal of 49675600 is 657694.

It can be written as a sum of positive squares in 12 ways, for example, as 42146064 + 7529536 = 6492^2 + 2744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49675600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49675601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213084 + ... + 213316.

Almost surely, 2^49675600 is an apocalyptic number.

49675600 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 49675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66112956).

49675600 is an abundant number, since it is smaller than the sum of its proper divisors (82550312).

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

49675600 is a wasteful number, since it uses less digits than its factorization.

49675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 49675600 is about 7048.0919403765. The cubic root of 49675600 is about 367.6046873459.

The spelling of 49675600 in words is "forty-nine million, six hundred seventy-five thousand, six hundred".