1042947360 has 576 divisors, whose sum is σ = 4584988800. Its totient is φ = 219469824.

The previous prime is 1042947359. The next prime is 1042947361. The reversal of 1042947360 is 637492401.

1042947360 is a `hidden beast` number, since 1 + 0 + 4 + 294 + 7 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (1042947359) and next prime (1042947361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1042947361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751651 + ... + 2752029.

It is an arithmetic number, because the mean of its divisors is an integer number (7960050).

Almost surely, 2^1042947360 is an apocalyptic number.

1042947360 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 1042947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292494400).

1042947360 is an abundant number, since it is smaller than the sum of its proper divisors (3542041440).

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

1042947360 is a wasteful number, since it uses less digits than its factorization.

1042947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1042947360 is about 32294.6955396703. The cubic root of 1042947360 is about 1014.1155990193.

The spelling of 1042947360 in words is "one billion, forty-two million, nine hundred forty-seven thousand, three hundred sixty".