283090464 has 120 divisors (see below), whose sum is σ = 839292300. Its totient is φ = 93602304.

The previous prime is 283090439. The next prime is 283090499. The reversal of 283090464 is 464090382.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 280227600 + 2862864 = 16740^2 + 1692^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 385842 + ... + 386574.

Almost surely, 2^283090464 is an apocalyptic number.

283090464 is a gapful number since it is divisible by the number (24) 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 283090464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419646150).

283090464 is an abundant number, since it is smaller than the sum of its proper divisors (556201836).

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

283090464 is a wasteful number, since it uses less digits than its factorization.

283090464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 283090464 is about 16825.2923897328. The cubic root of 283090464 is about 656.6113921311.

It can be divided in two parts, 28309046 and 4, that added together give a triangular number (28309050 = T₇₅₂₄).

The spelling of 283090464 in words is "two hundred eighty-three million, ninety thousand, four hundred sixty-four".