248238278400 has 432 divisors, whose sum is σ = 966490585088. Its totient is φ = 54908928000.

The previous prime is 248238278389. The next prime is 248238278411. The reversal of 248238278400 is 4872832842.

It is an interprime number because it is at equal distance from previous prime (248238278389) and next prime (248238278411).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 248238278400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4136610 + ... + 4196190.

Almost surely, 2^248238278400 is an apocalyptic number.

248238278400 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 248238278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483245292544).

248238278400 is an abundant number, since it is smaller than the sum of its proper divisors (718252306688).

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

248238278400 is a wasteful number, since it uses less digits than its factorization.

248238278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59648 (or 59629 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 248238278400 in words is "two hundred forty-eight billion, two hundred thirty-eight million, two hundred seventy-eight thousand, four hundred".