49136400 has 90 divisors (see below), whose sum is σ = 170529450. Its totient is φ = 13102080.

The previous prime is 49136389. The next prime is 49136431. The reversal of 49136400 is 463194.

49136400 is a `hidden beast` number, since 4 + 9 + 13 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24336 + 49112064 = 156^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3225 + ... + 10424.

Almost surely, 2^49136400 is an apocalyptic number.

49136400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49136400 is an abundant number, since it is smaller than the sum of its proper divisors (121393050).

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

49136400 is a wasteful number, since it uses less digits than its factorization.

49136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13673 (or 13659 counting only the distinct ones).

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

The square root of 49136400 is about 7009.7360863302. The cubic root of 49136400 is about 366.2698001697.

Adding to 49136400 its reverse (463194), we get a palindrome (49599594).

The spelling of 49136400 in words is "forty-nine million, one hundred thirty-six thousand, four hundred".