248934400 has 312 divisors, whose sum is σ = 767857104. Its totient is φ = 78643200.

The previous prime is 248934379. The next prime is 248934407. The reversal of 248934400 is 4439842.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248934407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14643192 + ... + 14643208.

Almost surely, 2^248934400 is an apocalyptic number.

248934400 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 248934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383928552).

248934400 is an abundant number, since it is smaller than the sum of its proper divisors (518922704).

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

248934400 is a wasteful number, since it uses less digits than its factorization.

248934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 248934400 is about 15777.6550855949. The cubic root of 248934400 is about 629.0642023296.

The spelling of 248934400 in words is "two hundred forty-eight million, nine hundred thirty-four thousand, four hundred".