49098400 has 72 divisors (see below), whose sum is σ = 129108924. Its totient is φ = 18124800.

The previous prime is 49098391. The next prime is 49098403. The reversal of 49098400 is 489094.

49098400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10010896 + 39087504 = 3164^2 + 6252^2 .

It is not an unprimeable number, because it can be changed into a prime (49098403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8040 + ... + 12760.

Almost surely, 2^49098400 is an apocalyptic number.

49098400 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 49098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64554462).

49098400 is an abundant number, since it is smaller than the sum of its proper divisors (80010524).

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

49098400 is a wasteful number, since it uses less digits than its factorization.

49098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 49098400 is about 7007.0250463374. The cubic root of 49098400 is about 366.1753566623.

The spelling of 49098400 in words is "forty-nine million, ninety-eight thousand, four hundred".