248897880 has 512 divisors, whose sum is σ = 1074124800. Its totient is φ = 49766400.

The previous prime is 248897849. The next prime is 248897897. The reversal of 248897880 is 88798842.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3409524 + ... + 3409596.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2^248897880 is an apocalyptic number.

248897880 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 248897880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537062400).

248897880 is an abundant number, since it is smaller than the sum of its proper divisors (825226920).

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

248897880 is a wasteful number, since it uses less digits than its factorization.

248897880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 248897880 is about 15776.4977102017. The cubic root of 248897880 is about 629.0334384708.

The spelling of 248897880 in words is "two hundred forty-eight million, eight hundred ninety-seven thousand, eight hundred eighty".