1032965460 has 120 divisors (see below), whose sum is σ = 3293888136. Its totient is φ = 270915840.

The previous prime is 1032965447. The next prime is 1032965467. The reversal of 1032965460 is 645692301.

It is a happy number.

1032965460 is a `hidden beast` number, since 103 + 2 + 9 + 6 + 546 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117418896 + 915546564 = 10836^2 + 30258^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032965467) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93594 + ... + 104046.

Almost surely, 2^1032965460 is an apocalyptic number.

1032965460 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 1032965460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646944068).

1032965460 is an abundant number, since it is smaller than the sum of its proper divisors (2260922676).

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

1032965460 is a wasteful number, since it uses less digits than its factorization.

1032965460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1032965460 is about 32139.7800241383. The cubic root of 1032965460 is about 1010.8699037487.

The spelling of 1032965460 in words is "one billion, thirty-two million, nine hundred sixty-five thousand, four hundred sixty".