49012800 has 84 divisors (see below), whose sum is σ = 160818576. Its totient is φ = 13068800.

The previous prime is 49012787. The next prime is 49012801. The reversal of 49012800 is 821094.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (49012801) by changing a digit.

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, 306 + ... + 9905.

Almost surely, 2^49012800 is an apocalyptic number.

49012800 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 49012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80409288).

49012800 is an abundant number, since it is smaller than the sum of its proper divisors (111805776).

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

49012800 is a wasteful number, since it uses less digits than its factorization.

49012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 49012800 is about 7000.9142260136. The cubic root of 49012800 is about 365.9624315704.

Adding to 49012800 its reverse (821094), we get a palindrome (49833894).

The spelling of 49012800 in words is "forty-nine million, twelve thousand, eight hundred".