49486400 has 84 divisors (see below), whose sum is σ = 123165108. Its totient is φ = 19568640.

The previous prime is 49486397. The next prime is 49486457. The reversal of 49486400 is 468494.

It can be written as a sum of positive squares in 6 ways, for example, as 262144 + 49224256 = 512^2 + 7016^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251102 + ... + 251298.

Almost surely, 2^49486400 is an apocalyptic number.

49486400 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 49486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61582554).

49486400 is an abundant number, since it is smaller than the sum of its proper divisors (73678708).

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

49486400 is a wasteful number, since it uses less digits than its factorization.

49486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 49486400 is about 7034.6570634253. The cubic root of 49486400 is about 367.1373935853.

It can be divided in two parts, 4 and 9486400, that multiplied together give a square (37945600 = 6160²).

The spelling of 49486400 in words is "forty-nine million, four hundred eighty-six thousand, four hundred".