49568400 has 270 divisors, whose sum is σ = 200812482. Its totient is φ = 11289600.

The previous prime is 49568377. The next prime is 49568423. The reversal of 49568400 is 486594.

It is an interprime number because it is at equal distance from previous prime (49568377) and next prime (49568423).

It can be written as a sum of positive squares in 3 ways, for example, as 5531904 + 44036496 = 2352^2 + 6636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176260 + ... + 176540.

Almost surely, 2^49568400 is an apocalyptic number.

49568400 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 49568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100406241).

49568400 is an abundant number, since it is smaller than the sum of its proper divisors (151244082).

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

49568400 is a wasteful number, since it uses less digits than its factorization.

49568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49568400 is about 7040.4829379809. The cubic root of 49568400 is about 367.3400664625.

The spelling of 49568400 in words is "forty-nine million, five hundred sixty-eight thousand, four hundred".