248290358400 has 3072 divisors, whose sum is σ = 1223921664000. Its totient is φ = 47775744000.

The previous prime is 248290358389. The next prime is 248290358411. The reversal of 248290358400 is 4853092842.

248290358400 is a `hidden beast` number, since 2 + 4 + 8 + 290 + 358 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248290358389) and next prime (248290358411).

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 383 ways as a sum of consecutive naturals, for example, 6055862380 + ... + 6055862420.

It is an arithmetic number, because the mean of its divisors is an integer number (398412000).

Almost surely, 2^248290358400 is an apocalyptic number.

248290358400 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 248290358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611960832000).

248290358400 is an abundant number, since it is smaller than the sum of its proper divisors (975631305600).

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

248290358400 is a wasteful number, since it uses less digits than its factorization.

248290358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 248290358400 in words is "two hundred forty-eight billion, two hundred ninety million, three hundred fifty-eight thousand, four hundred".