249447408 has 80 divisors (see below), whose sum is σ = 741976320. Its totient is φ = 70737408.

The previous prime is 249447391. The next prime is 249447413. The reversal of 249447408 is 804744942.

It is a happy number.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 249447408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43323 + ... + 48741.

It is an arithmetic number, because the mean of its divisors is an integer number (9274704).

Almost surely, 2^249447408 is an apocalyptic number.

249447408 is a gapful number since it is divisible by the number (28) 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 249447408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370988160).

249447408 is an abundant number, since it is smaller than the sum of its proper divisors (492528912).

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

249447408 is a wasteful number, since it uses less digits than its factorization.

249447408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 249447408 is about 15793.9041405221. The cubic root of 249447408 is about 629.4960343522.

The spelling of 249447408 in words is "two hundred forty-nine million, four hundred forty-seven thousand, four hundred eight".