248270400 has 336 divisors, whose sum is σ = 1035588480. Its totient is φ = 56678400.

The previous prime is 248270381. The next prime is 248270401. The reversal of 248270400 is 4072842.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (248270401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301990 + ... + 302810.

Almost surely, 2^248270400 is an apocalyptic number.

248270400 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 248270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517794240).

248270400 is an abundant number, since it is smaller than the sum of its proper divisors (787318080).

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

248270400 is a wasteful number, since it uses less digits than its factorization.

248270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 248270400 is about 15756.5986177220. The cubic root of 248270400 is about 628.5043887573.

The spelling of 248270400 in words is "two hundred forty-eight million, two hundred seventy thousand, four hundred".