248578352 has 80 divisors (see below), whose sum is σ = 560214144. Its totient is φ = 105600000.

The previous prime is 248578333. The next prime is 248578373. The reversal of 248578352 is 253875842.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 750827 + ... + 751157.

Almost surely, 2^248578352 is an apocalyptic number.

248578352 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 248578352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280107072).

248578352 is an abundant number, since it is smaller than the sum of its proper divisors (311635792).

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

248578352 is a wasteful number, since it uses less digits than its factorization.

248578352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its digits is 537600, while the sum is 44.

The square root of 248578352 is about 15766.3677491044. The cubic root of 248578352 is about 628.7641448044.

The spelling of 248578352 in words is "two hundred forty-eight million, five hundred seventy-eight thousand, three hundred fifty-two".