248476800 has 384 divisors, whose sum is σ = 966813120. Its totient is φ = 55296000.

The previous prime is 248476799. The next prime is 248476807. The reversal of 248476800 is 8674842.

248476800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (248476807) 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, 1372710 + ... + 1372890.

Almost surely, 2^248476800 is an apocalyptic number.

248476800 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 248476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483406560).

248476800 is an abundant number, since it is smaller than the sum of its proper divisors (718336320).

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

248476800 is a wasteful number, since it uses less digits than its factorization.

248476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 248476800 is about 15763.1468939422. The cubic root of 248476800 is about 628.6785098955.

The spelling of 248476800 in words is "two hundred forty-eight million, four hundred seventy-six thousand, eight hundred".