1045304160 has 192 divisors, whose sum is σ = 3553647552. Its totient is φ = 257294336.

The previous prime is 1045304153. The next prime is 1045304173. The reversal of 1045304160 is 614035401.

1045304160 = 385² + 386² + ... + 1472².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1045304160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431272 + ... + 433688.

It is an arithmetic number, because the mean of its divisors is an integer number (18508581).

Almost surely, 2^1045304160 is an apocalyptic number.

1045304160 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 1045304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776823776).

1045304160 is an abundant number, since it is smaller than the sum of its proper divisors (2508343392).

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

1045304160 is a wasteful number, since it uses less digits than its factorization.

1045304160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1045304160 is about 32331.1639134752. The cubic root of 1045304160 is about 1014.8789068250.

Adding to 1045304160 its reverse (614035401), we get a palindrome (1659339561).

The spelling of 1045304160 in words is "one billion, forty-five million, three hundred four thousand, one hundred sixty".