249146480 has 40 divisors (see below), whose sum is σ = 631928304. Its totient is φ = 90598400.

The previous prime is 249146431. The next prime is 249146501. The reversal of 249146480 is 84641942.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140681 + ... + 142440.

Almost surely, 2^249146480 is an apocalyptic number.

249146480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249146480 is an abundant number, since it is smaller than the sum of its proper divisors (382781824).

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

249146480 is a wasteful number, since it uses less digits than its factorization.

249146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283145 (or 283139 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 249146480 is about 15784.3745520689. The cubic root of 249146480 is about 629.2427956553.

The spelling of 249146480 in words is "two hundred forty-nine million, one hundred forty-six thousand, four hundred eighty".