280464000 has 128 divisors (see below), whose sum is σ = 929897280. Its totient is φ = 74777600.

The previous prime is 280463999. The next prime is 280464043. The reversal of 280464000 is 464082.

280464000 is digitally balanced in base 3, 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45079 + ... + 50921.

Almost surely, 2^280464000 is an apocalyptic number.

280464000 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 280464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464948640).

280464000 is an abundant number, since it is smaller than the sum of its proper divisors (649433280).

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

280464000 is an equidigital number, since it uses as much as digits as its factorization.

280464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 280464000 is about 16747.0594433769. The cubic root of 280464000 is about 654.5744375494.

The spelling of 280464000 in words is "two hundred eighty million, four hundred sixty-four thousand".