248368032 has 240 divisors, whose sum is σ = 825479424. Its totient is φ = 72576000.

The previous prime is 248368031. The next prime is 248368039. The reversal of 248368032 is 230863842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248368031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883732 + ... + 884012.

Almost surely, 2^248368032 is an apocalyptic number.

248368032 is a gapful number since it is divisible by the number (22) 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 248368032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412739712).

248368032 is an abundant number, since it is smaller than the sum of its proper divisors (577111392).

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

248368032 is a wasteful number, since it uses less digits than its factorization.

248368032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 248368032 is about 15759.6964437771. The cubic root of 248368032 is about 628.5867641280.

The spelling of 248368032 in words is "two hundred forty-eight million, three hundred sixty-eight thousand, thirty-two".