1045413864 has 240 divisors, whose sum is σ = 3282972000. Its totient is φ = 310495680.

The previous prime is 1045413751. The next prime is 1045413883. The reversal of 1045413864 is 4683145401.

1045413864 is a `hidden beast` number, since 10 + 454 + 138 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5253237 + ... + 5253435.

It is an arithmetic number, because the mean of its divisors is an integer number (13679050).

Almost surely, 2^1045413864 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 1045413864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641486000).

1045413864 is an abundant number, since it is smaller than the sum of its proper divisors (2237558136).

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

1045413864 is a wasteful number, since it uses less digits than its factorization.

1045413864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1045413864 is about 32332.8604364043. The cubic root of 1045413864 is about 1014.9144092128.

The spelling of 1045413864 in words is "one billion, forty-five million, four hundred thirteen thousand, eight hundred sixty-four".