248422496400 has 945 divisors, whose sum is σ = 982811958267. Its totient is φ = 60288883200.

The previous prime is 248422496381. The next prime is 248422496411. The reversal of 248422496400 is 4694224842.

The square root of 248422496400 is 498420.

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

248422496400 is a `hidden beast` number, since 24 + 84 + 22 + 496 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64031265936 + 184391230464 = 253044^2 + 429408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3498908365 + ... + 3498908435.

Almost surely, 2^248422496400 is an apocalyptic number.

248422496400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248422496400 is the 498420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248422496400

248422496400 is an abundant number, since it is smaller than the sum of its proper divisors (734389461867).

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

248422496400 is an equidigital number, since it uses as much as digits as its factorization.

248422496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 248422496400 in words is "two hundred forty-eight billion, four hundred twenty-two million, four hundred ninety-six thousand, four hundred".