248323824 has 120 divisors (see below), whose sum is σ = 828851712. Its totient is φ = 67858560.

The previous prime is 248323807. The next prime is 248323837. The reversal of 248323824 is 428323842.

It is a happy number.

248323824 is a `hidden beast` number, since 248 + 32 + 382 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 17829 + ... + 28539.

Almost surely, 2^248323824 is an apocalyptic number.

248323824 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 248323824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414425856).

248323824 is an abundant number, since it is smaller than the sum of its proper divisors (580527888).

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

248323824 is a wasteful number, since it uses less digits than its factorization.

248323824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755 (or 10746 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 248323824 is about 15758.2938162734. The cubic root of 248323824 is about 628.5494670406.

The spelling of 248323824 in words is "two hundred forty-eight million, three hundred twenty-three thousand, eight hundred twenty-four".