248993460 has 96 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 65301120.

The previous prime is 248993447. The next prime is 248993473. The reversal of 248993460 is 64399842.

248993460 is a `hidden beast` number, since 24 + 89 + 93 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (248993447) and next prime (248993473).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29161 + ... + 36719.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2^248993460 is an apocalyptic number.

248993460 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 248993460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

248993460 is an abundant number, since it is smaller than the sum of its proper divisors (538456140).

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

248993460 is a wasteful number, since it uses less digits than its factorization.

248993460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 248993460 is about 15779.5266088688. The cubic root of 248993460 is about 629.1139471539.

The spelling of 248993460 in words is "two hundred forty-eight million, nine hundred ninety-three thousand, four hundred sixty".