249275400 has 192 divisors, whose sum is σ = 851731200. Its totient is φ = 59808000.

The previous prime is 249275399. The next prime is 249275419. The reversal of 249275400 is 4572942.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 1181295 + ... + 1181505.

It is an arithmetic number, because the mean of its divisors is an integer number (4436100).

Almost surely, 2^249275400 is an apocalyptic number.

249275400 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 249275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425865600).

249275400 is an abundant number, since it is smaller than the sum of its proper divisors (602455800).

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

249275400 is a wasteful number, since it uses less digits than its factorization.

249275400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 249275400 is about 15788.4578094252. The cubic root of 249275400 is about 629.3513101232.

The spelling of 249275400 in words is "two hundred forty-nine million, two hundred seventy-five thousand, four hundred".