248342630400 has 780 divisors, whose sum is σ = 934023006400. Its totient is φ = 65213890560.

The previous prime is 248342630381. The next prime is 248342630411. The reversal of 248342630400 is 4036243842.

248342630400 is a `hidden beast` number, since 2 + 4 + 8 + 342 + 6 + 304 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 655257411 + ... + 655257789.

Almost surely, 2^248342630400 is an apocalyptic number.

248342630400 is a gapful number since it is divisible by the number (20) 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 248342630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467011503200).

248342630400 is an abundant number, since it is smaller than the sum of its proper divisors (685680376000).

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

248342630400 is an equidigital number, since it uses as much as digits as its factorization.

248342630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 248342630400 in words is "two hundred forty-eight billion, three hundred forty-two million, six hundred thirty thousand, four hundred".