280790400 has 192 divisors, whose sum is σ = 1009310400. Its totient is φ = 68044800.

The previous prime is 280790399. The next prime is 280790407. The reversal of 280790400 is 4097082.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280790407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104271 + ... + 106929.

It is an arithmetic number, because the mean of its divisors is an integer number (5256825).

Almost surely, 2^280790400 is an apocalyptic number.

280790400 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 280790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504655200).

280790400 is an abundant number, since it is smaller than the sum of its proper divisors (728520000).

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

280790400 is a wasteful number, since it uses less digits than its factorization.

280790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 280790400 is about 16756.8016041248. The cubic root of 280790400 is about 654.8282672362.

The spelling of 280790400 in words is "two hundred eighty million, seven hundred ninety thousand, four hundred".