1045595952 has 80 divisors (see below), whose sum is σ = 3038401760. Its totient is φ = 348520320.

The previous prime is 1045595927. The next prime is 1045595959. The reversal of 1045595952 is 2595955401.

1045595952 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 59 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1045595898 and 1045595907.

It is not an unprimeable number, because it can be changed into a prime (1045595959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20052 + ... + 49932.

It is an arithmetic number, because the mean of its divisors is an integer number (37980022).

Almost surely, 2^1045595952 is an apocalyptic number.

1045595952 is a gapful number since it is divisible by the number (12) 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 1045595952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519200880).

1045595952 is an abundant number, since it is smaller than the sum of its proper divisors (1992805808).

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

1045595952 is an frugal number, since it uses more digits than its factorization.

1045595952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29910 (or 29886 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The square root of 1045595952 is about 32335.6761487989. The cubic root of 1045595952 is about 1014.9733310148.

The spelling of 1045595952 in words is "one billion, forty-five million, five hundred ninety-five thousand, nine hundred fifty-two".