248961864 has 64 divisors (see below), whose sum is σ = 663552000. Its totient is φ = 77613120.

The previous prime is 248961859. The next prime is 248961893. The reversal of 248961864 is 468169842.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32569 + ... + 39479.

It is an arithmetic number, because the mean of its divisors is an integer number (10368000).

Almost surely, 2^248961864 is an apocalyptic number.

248961864 is a gapful number since it is divisible by the number (24) 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 248961864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331776000).

248961864 is an abundant number, since it is smaller than the sum of its proper divisors (414590136).

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

248961864 is a wasteful number, since it uses less digits than its factorization.

248961864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 7014 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 248961864 is about 15778.5254063870. The cubic root of 248961864 is about 629.0873355780.

The spelling of 248961864 in words is "two hundred forty-eight million, nine hundred sixty-one thousand, eight hundred sixty-four".