49149600 has 72 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 13105920.

The previous prime is 49149593. The next prime is 49149623. The reversal of 49149600 is 694194.

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, 7840 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (2222080).

Almost surely, 2^49149600 is an apocalyptic number.

49149600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49149600 is an abundant number, since it is smaller than the sum of its proper divisors (110840160).

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

49149600 is a wasteful number, since it uses less digits than its factorization.

49149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20502 (or 20489 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 49149600 is about 7010.6775706775. The cubic root of 49149600 is about 366.3025954667.

The spelling of 49149600 in words is "forty-nine million, one hundred forty-nine thousand, six hundred".