1032409080 has 192 divisors, whose sum is σ = 3559140000. Its totient is φ = 258812928.

The previous prime is 1032409057. The next prime is 1032409123. The reversal of 1032409080 is 809042301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018654 + ... + 1019666.

Almost surely, 2^1032409080 is an apocalyptic number.

1032409080 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 1032409080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779570000).

1032409080 is an abundant number, since it is smaller than the sum of its proper divisors (2526730920).

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

1032409080 is a wasteful number, since it uses less digits than its factorization.

1032409080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1032409080 is about 32131.1232296663. The cubic root of 1032409080 is about 1010.6883782192.

The spelling of 1032409080 in words is "one billion, thirty-two million, four hundred nine thousand, eighty".