1045805904 has 480 divisors, whose sum is σ = 3786563200. Its totient is φ = 277136640.

The previous prime is 1045805903. The next prime is 1045805921. The reversal of 1045805904 is 4095085401.

1045805904 is a `hidden beast` number, since 10 + 4 + 58 + 0 + 590 + 4 = 666.

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 (1045805903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55042407 + ... + 55042425.

Almost surely, 2^1045805904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045805904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893281600).

1045805904 is an abundant number, since it is smaller than the sum of its proper divisors (2740757296).

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

1045805904 is a wasteful number, since it uses less digits than its factorization.

1045805904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1045805904 is about 32338.9224310273. The cubic root of 1045805904 is about 1015.0412608301.

The spelling of 1045805904 in words is "one billion, forty-five million, eight hundred five thousand, nine hundred four".