248430560 has 48 divisors (see below), whose sum is σ = 670765536. Its totient is φ = 85175808.

The previous prime is 248430551. The next prime is 248430563. The reversal of 248430560 is 65034842.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248430563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109787 + ... + 112026.

It is an arithmetic number, because the mean of its divisors is an integer number (13974282).

Almost surely, 2^248430560 is an apocalyptic number.

248430560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248430560 is an abundant number, since it is smaller than the sum of its proper divisors (422334976).

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

248430560 is a wasteful number, since it uses less digits than its factorization.

248430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221835 (or 221827 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 248430560 is about 15761.6801134904. The cubic root of 248430560 is about 628.6395097450.

The spelling of 248430560 in words is "two hundred forty-eight million, four hundred thirty thousand, five hundred sixty".