1045875600 has 675 divisors, whose sum is σ = 4654054769. Its totient is φ = 217324800.

The previous prime is 1045875583. The next prime is 1045875617. The reversal of 1045875600 is 65785401.

The square root of 1045875600 is 32340.

It is a perfect power (a square), and thus also a powerful number.

1045875600 is a `hidden beast` number, since 1 + 0 + 45 + 8 + 7 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1045875583) and next prime (1045875617).

It can be written as a sum of positive squares in only one way, i.e., 376515216 + 669360384 = 19404^2 + 25872^2 .

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 134 ways as a sum of consecutive naturals, for example, 95079595 + ... + 95079605.

Almost surely, 2^1045875600 is an apocalyptic number.

1045875600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1045875600 is the 32340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045875600

1045875600 is an abundant number, since it is smaller than the sum of its proper divisors (3608179169).

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

1045875600 is a wasteful number, since it uses less digits than its factorization.

1045875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The cubic root of 1045875600 is about 1015.0638089096.

Multiplying 1045875600 by its sum of digits (36), we get a square (37651521600 = 194040²).

1045875600 divided by its sum of digits (36) gives a square (29052100 = 5390²).

The spelling of 1045875600 in words is "one billion, forty-five million, eight hundred seventy-five thousand, six hundred".