249378480 has 320 divisors, whose sum is σ = 944939520. Its totient is φ = 60079104.

The previous prime is 249378473. The next prime is 249378499. The reversal of 249378480 is 84873942.

249378480 is a `hidden beast` number, since 2 + 493 + 7 + 84 + 80 = 666.

It is a super-2 number, since 2×249378480² = 124379252574220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2330587 + ... + 2330693.

It is an arithmetic number, because the mean of its divisors is an integer number (2952936).

Almost surely, 2^249378480 is an apocalyptic number.

249378480 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 249378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

249378480 is an abundant number, since it is smaller than the sum of its proper divisors (695561040).

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

249378480 is a wasteful number, since it uses less digits than its factorization.

249378480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 249378480 is about 15791.7218820495. The cubic root of 249378480 is about 629.4380476472.

The spelling of 249378480 in words is "two hundred forty-nine million, three hundred seventy-eight thousand, four hundred eighty".