248888472 has 128 divisors (see below), whose sum is σ = 735989760. Its totient is φ = 68664960.

The previous prime is 248888459. The next prime is 248888509. The reversal of 248888472 is 274888842.

It is a nude number because it is divisible by every one of its digits.

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, 946213 + ... + 946475.

It is an arithmetic number, because the mean of its divisors is an integer number (5749920).

Almost surely, 2^248888472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248888472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367994880).

248888472 is an abundant number, since it is smaller than the sum of its proper divisors (487101288).

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

248888472 is a wasteful number, since it uses less digits than its factorization.

248888472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 51.

The square root of 248888472 is about 15776.1995423486. The cubic root of 248888472 is about 629.0255128359.

The spelling of 248888472 in words is "two hundred forty-eight million, eight hundred eighty-eight thousand, four hundred seventy-two".