249060400 has 60 divisors (see below), whose sum is σ = 601201600. Its totient is φ = 99152640.

The previous prime is 249060397. The next prime is 249060433. The reversal of 249060400 is 4060942.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 90241 + ... + 92959.

Almost surely, 2^249060400 is an apocalyptic number.

249060400 is a gapful number since it is divisible by the number (20) 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 249060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300600800).

249060400 is an abundant number, since it is smaller than the sum of its proper divisors (352141200).

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

249060400 is a wasteful number, since it uses less digits than its factorization.

249060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 249060400 is about 15781.6475692495. The cubic root of 249060400 is about 629.1703196041.

The spelling of 249060400 in words is "two hundred forty-nine million, sixty thousand, four hundred".