249432480 has 384 divisors, whose sum is σ = 990662400. Its totient is φ = 58060800.

The previous prime is 249432377. The next prime is 249432481. The reversal of 249432480 is 84234942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (249432481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1377990 + ... + 1378170.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^249432480 is an apocalyptic number.

249432480 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 249432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

249432480 is an abundant number, since it is smaller than the sum of its proper divisors (741229920).

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

249432480 is a wasteful number, since it uses less digits than its factorization.

249432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 249432480 is about 15793.4315460574. The cubic root of 249432480 is about 629.4834768565.

The spelling of 249432480 in words is "two hundred forty-nine million, four hundred thirty-two thousand, four hundred eighty".