249108480 has 384 divisors, whose sum is σ = 955281600. Its totient is φ = 61341696.

The previous prime is 249108473. The next prime is 249108493. The reversal of 249108480 is 84801942.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700134 + ... + 4700186.

Almost surely, 2^249108480 is an apocalyptic number.

249108480 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 249108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477640800).

249108480 is an abundant number, since it is smaller than the sum of its proper divisors (706173120).

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

249108480 is a wasteful number, since it uses less digits than its factorization.

249108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 249108480 is about 15783.1707840979. The cubic root of 249108480 is about 629.2108031744.

The spelling of 249108480 in words is "two hundred forty-nine million, one hundred eight thousand, four hundred eighty".