1045313280 has 432 divisors, whose sum is σ = 4034905056. Its totient is φ = 247726080.

The previous prime is 1045313279. The next prime is 1045313303. The reversal of 1045313280 is 823135401.

It is a happy number.

1045313280 is a `hidden beast` number, since 1 + 0 + 453 + 132 + 80 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 9250504 + ... + 9250616.

It is an arithmetic number, because the mean of its divisors is an integer number (9340058).

Almost surely, 2^1045313280 is an apocalyptic number.

1045313280 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 1045313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017452528).

1045313280 is an abundant number, since it is smaller than the sum of its proper divisors (2989591776).

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

1045313280 is a wasteful number, since it uses less digits than its factorization.

1045313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1045313280 is about 32331.3049535586. The cubic root of 1045313280 is about 1014.8818583323.

Adding to 1045313280 its reverse (823135401), we get a palindrome (1868448681).

The spelling of 1045313280 in words is "one billion, forty-five million, three hundred thirteen thousand, two hundred eighty".