1042853760 has 384 divisors, whose sum is σ = 4087792800. Its totient is φ = 242860032.

The previous prime is 1042853731. The next prime is 1042853761. The reversal of 1042853760 is 673582401.

1042853760 is a `hidden beast` number, since 1 + 0 + 4 + 285 + 376 + 0 = 666.

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

It is a super-2 number, since 2×1042853760² = 2175087929492275200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042853761) 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, 1422354 + ... + 1423086.

Almost surely, 2^1042853760 is an apocalyptic number.

1042853760 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 1042853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043896400).

1042853760 is an abundant number, since it is smaller than the sum of its proper divisors (3044939040).

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

1042853760 is a wasteful number, since it uses less digits than its factorization.

1042853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1042853760 is about 32293.2463527593. The cubic root of 1042853760 is about 1014.0852606202.

The spelling of 1042853760 in words is "one billion, forty-two million, eight hundred fifty-three thousand, seven hundred sixty".