1283361280 has 160 divisors (see below), whose sum is σ = 3350316816. Its totient is φ = 469499904.

The previous prime is 1283361271. The next prime is 1283361293. The reversal of 1283361280 is 821633821.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1000583424 + 282777856 = 31632^2 + 16816^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609842 + ... + 1610638.

Almost surely, 2^1283361280 is an apocalyptic number.

1283361280 is a gapful number since it is divisible by the number (10) 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 1283361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675158408).

1283361280 is an abundant number, since it is smaller than the sum of its proper divisors (2066955536).

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

1283361280 is an equidigital number, since it uses as much as digits as its factorization.

1283361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1283361280 is about 35824.0321571986. The cubic root of 1283361280 is about 1086.7166240138.

The spelling of 1283361280 in words is "one billion, two hundred eighty-three million, three hundred sixty-one thousand, two hundred eighty".