249394680 has 128 divisors (see below), whose sum is σ = 847195200. Its totient is φ = 65235456.

The previous prime is 249394669. The next prime is 249394697. The reversal of 249394680 is 86493942.

It is a super-3 number, since 3×249394680³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55062 + ... + 59418.

Almost surely, 2^249394680 is an apocalyptic number.

249394680 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 249394680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423597600).

249394680 is an abundant number, since it is smaller than the sum of its proper divisors (597800520).

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

249394680 is a wasteful number, since it uses less digits than its factorization.

249394680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 249394680 is about 15792.2348006861. The cubic root of 249394680 is about 629.4516770985.

The spelling of 249394680 in words is "two hundred forty-nine million, three hundred ninety-four thousand, six hundred eighty".