1047825792 has 384 divisors, whose sum is σ = 3498942720. Its totient is φ = 298598400.

The previous prime is 1047825773. The next prime is 1047825799. The reversal of 1047825792 is 2975287401.

It is a happy number.

1047825792 is a `hidden beast` number, since 1 + 0 + 4 + 78 + 2 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047825799) 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, 17177442 + ... + 17177502.

It is an arithmetic number, because the mean of its divisors is an integer number (9111830).

Almost surely, 2^1047825792 is an apocalyptic number.

1047825792 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 1047825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749471360).

1047825792 is an abundant number, since it is smaller than the sum of its proper divisors (2451116928).

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

1047825792 is a wasteful number, since it uses less digits than its factorization.

1047825792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1047825792 is about 32370.1373491062. The cubic root of 1047825792 is about 1015.6943301020.

The spelling of 1047825792 in words is "one billion, forty-seven million, eight hundred twenty-five thousand, seven hundred ninety-two".