857392480 has 192 divisors, whose sum is σ = 2496130560. Its totient is φ = 271724544.

The previous prime is 857392463. The next prime is 857392483. The reversal of 857392480 is 84293758.

It is a self number, because there is not a number n which added to its sum of digits gives 857392480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857392483) 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 31 ways as a sum of consecutive naturals, for example, 914572 + ... + 915508.

It is an arithmetic number, because the mean of its divisors is an integer number (13000680).

Almost surely, 2^857392480 is an apocalyptic number.

857392480 is a gapful number since it is divisible by the number (80) 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 857392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248065280).

857392480 is an abundant number, since it is smaller than the sum of its proper divisors (1638738080).

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

857392480 is a wasteful number, since it uses less digits than its factorization.

857392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 857392480 is about 29281.2649999962. The cubic root of 857392480 is about 950.0064560965.

The spelling of 857392480 in words is "eight hundred fifty-seven million, three hundred ninety-two thousand, four hundred eighty".