283494400 has 216 divisors, whose sum is σ = 824888610. Its totient is φ = 96337920.

The previous prime is 283494371. The next prime is 283494413. The reversal of 283494400 is 4494382.

It can be written as a sum of positive squares in 3 ways, for example, as 120472576 + 163021824 = 10976^2 + 12768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2508744 + ... + 2508856.

Almost surely, 2^283494400 is an apocalyptic number.

283494400 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 283494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412444305).

283494400 is an abundant number, since it is smaller than the sum of its proper divisors (541394210).

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

283494400 is a wasteful number, since it uses less digits than its factorization.

283494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

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

The square root of 283494400 is about 16837.2919437777. The cubic root of 283494400 is about 656.9235455037.

The spelling of 283494400 in words is "two hundred eighty-three million, four hundred ninety-four thousand, four hundred".