1283932224 has 63 divisors (see below), whose sum is σ = 3682626493. Its totient is φ = 427690752.

The previous prime is 1283932219. The next prime is 1283932231. The reversal of 1283932224 is 4222393821.

The square root of 1283932224 is 35832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1120910400 + 163021824 = 33480^2 + 12768^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 859222 + ... + 860714.

Almost surely, 2^1283932224 is an apocalyptic number.

1283932224 is the 35832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283932224

1283932224 is an abundant number, since it is smaller than the sum of its proper divisors (2398694269).

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

1283932224 is an frugal number, since it uses more digits than its factorization.

1283932224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 1498 counting only the distinct ones).

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

The cubic root of 1283932224 is about 1086.8777535827.

Multiplying 1283932224 by its sum of digits (36), we get a square (46221560064 = 214992²).

1283932224 divided by its sum of digits (36) gives a square (35664784 = 5972²).

The spelling of 1283932224 in words is "one billion, two hundred eighty-three million, nine hundred thirty-two thousand, two hundred twenty-four".