1045296000 has 768 divisors, whose sum is σ = 4617025920. Its totient is φ = 221184000.

The previous prime is 1045295971. The next prime is 1045296041. The reversal of 1045296000 is 6925401.

1045296000 is a `hidden beast` number, since 1 + 0 + 4 + 52 + 9 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17135970 + ... + 17136030.

It is a vampire number, since it can be written as 20496 ⋅ 51000 (with its own digits).

Almost surely, 2^1045296000 is an apocalyptic number.

1045296000 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 1045296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308512960).

1045296000 is an abundant number, since it is smaller than the sum of its proper divisors (3571729920).

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

1045296000 is a wasteful number, since it uses less digits than its factorization.

1045296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1045296000 is about 32331.0377191948. The cubic root of 1045296000 is about 1014.8762659881.

The spelling of 1045296000 in words is "one billion, forty-five million, two hundred ninety-six thousand".