248629824 has 147 divisors (see below), whose sum is σ = 749995833. Its totient is φ = 81741312.

The previous prime is 248629813. The next prime is 248629841. The reversal of 248629824 is 428926842.

The square root of 248629824 is 15768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 107495424 = 11880^2 + 10368^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 248629824.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3405852 + ... + 3405924.

Almost surely, 2^248629824 is an apocalyptic number.

248629824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

248629824 is the 15768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248629824

248629824 is an abundant number, since it is smaller than the sum of its proper divisors (501366009).

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

248629824 is an frugal number, since it uses more digits than its factorization.

248629824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 78 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The cubic root of 248629824 is about 628.8075402627.

The spelling of 248629824 in words is "two hundred forty-eight million, six hundred twenty-nine thousand, eight hundred twenty-four".