49174400 has 144 divisors (see below), whose sum is σ = 134574720. Its totient is φ = 17740800.

The previous prime is 49174397. The next prime is 49174403. The reversal of 49174400 is 447194.

49174400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49174397) and next prime (49174403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49174403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387137 + ... + 387263.

Almost surely, 2^49174400 is an apocalyptic number.

49174400 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 49174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67287360).

49174400 is an abundant number, since it is smaller than the sum of its proper divisors (85400320).

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

49174400 is a wasteful number, since it uses less digits than its factorization.

49174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 49174400 is about 7012.4460782241. The cubic root of 49174400 is about 366.3641949973.

The spelling of 49174400 in words is "forty-nine million, one hundred seventy-four thousand, four hundred".