1045874952 has 192 divisors, whose sum is σ = 3170119680. Its totient is φ = 309805056.

The previous prime is 1045874941. The next prime is 1045874953. The reversal of 1045874952 is 2594785401.

1045874952 is a `hidden beast` number, since 10 + 4 + 587 + 4 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1045874898 and 1045874907.

It is not an unprimeable number, because it can be changed into a prime (1045874953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2730553 + ... + 2730935.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^1045874952 is an apocalyptic number.

1045874952 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 1045874952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

1045874952 is an abundant number, since it is smaller than the sum of its proper divisors (2124244728).

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

1045874952 is a wasteful number, since it uses less digits than its factorization.

1045874952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1045874952 is about 32339.9899814456. The cubic root of 1045874952 is about 1015.0635992730.

The spelling of 1045874952 in words is "one billion, forty-five million, eight hundred seventy-four thousand, nine hundred fifty-two".