49986400 has 36 divisors (see below), whose sum is σ = 122031252. Its totient is φ = 19994240.

The previous prime is 49986379. The next prime is 49986407. The reversal of 49986400 is 468994.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49986407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30442 + ... + 32041.

It is an arithmetic number, because the mean of its divisors is an integer number (3389757).

Almost surely, 2^49986400 is an apocalyptic number.

49986400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49986400 is an abundant number, since it is smaller than the sum of its proper divisors (72044852).

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

49986400 is a wasteful number, since it uses less digits than its factorization.

49986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62503 (or 62490 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 49986400 is about 7070.1060812409. The cubic root of 49986400 is about 368.3697449496.

The spelling of 49986400 in words is "forty-nine million, nine hundred eighty-six thousand, four hundred".