280090400 has 72 divisors (see below), whose sum is σ = 719797680. Its totient is φ = 106133760.

The previous prime is 280090399. The next prime is 280090409. The reversal of 280090400 is 4090082.

It is not an unprimeable number, because it can be changed into a prime (280090409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5987 + ... + 24413.

It is an arithmetic number, because the mean of its divisors is an integer number (9997190).

Almost surely, 2^280090400 is an apocalyptic number.

280090400 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 280090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359898840).

280090400 is an abundant number, since it is smaller than the sum of its proper divisors (439707280).

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

280090400 is a wasteful number, since it uses less digits than its factorization.

280090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18466 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 280090400 is about 16735.9015293470. The cubic root of 280090400 is about 654.2836602703.

The spelling of 280090400 in words is "two hundred eighty million, ninety thousand, four hundred".