49574400 has 120 divisors (see below), whose sum is σ = 163892784. Its totient is φ = 13209600.

The previous prime is 49574389. The next prime is 49574419. The reversal of 49574400 is 447594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×49574400² = 4915242270720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37755 + ... + 39045.

Almost surely, 2^49574400 is an apocalyptic number.

49574400 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 49574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81946392).

49574400 is an abundant number, since it is smaller than the sum of its proper divisors (114318384).

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

49574400 is a wasteful number, since it uses less digits than its factorization.

49574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 49574400 is about 7040.9090322202. The cubic root of 49574400 is about 367.3548874067.

The spelling of 49574400 in words is "forty-nine million, five hundred seventy-four thousand, four hundred".