1045468800 has 288 divisors, whose sum is σ = 3854098560. Its totient is φ = 269568000.

The previous prime is 1045468793. The next prime is 1045468819. The reversal of 1045468800 is 88645401.

1045468800 is a `hidden beast` number, since 104 + 546 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 892215 + ... + 893385.

Almost surely, 2^1045468800 is an apocalyptic number.

1045468800 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 1045468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927049280).

1045468800 is an abundant number, since it is smaller than the sum of its proper divisors (2808629760).

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

1045468800 is a wasteful number, since it uses less digits than its factorization.

1045468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1045468800 is about 32333.7099634422. The cubic root of 1045468800 is about 1014.9321866574.

The spelling of 1045468800 in words is "one billion, forty-five million, four hundred sixty-eight thousand, eight hundred".