1045227600 has 180 divisors, whose sum is σ = 3647956000. Its totient is φ = 277136640.

The previous prime is 1045227583. The next prime is 1045227607. The reversal of 1045227600 is 67225401.

1045227600 is a `hidden beast` number, since 1 + 0 + 4 + 52 + 2 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045227607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 715671 + ... + 717129.

Almost surely, 2^1045227600 is an apocalyptic number.

1045227600 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 1045227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823978000).

1045227600 is an abundant number, since it is smaller than the sum of its proper divisors (2602728400).

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

1045227600 is a wasteful number, since it uses less digits than its factorization.

1045227600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1045227600 is about 32329.9798948283. The cubic root of 1045227600 is about 1014.8541290205.

The spelling of 1045227600 in words is "one billion, forty-five million, two hundred twenty-seven thousand, six hundred".