857429460 has 144 divisors (see below), whose sum is σ = 2719132416. Its totient is φ = 218486016.

The previous prime is 857429431. The next prime is 857429483. The reversal of 857429460 is 64924758.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362602 + ... + 364958.

It is an arithmetic number, because the mean of its divisors is an integer number (18882864).

Almost surely, 2^857429460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857429460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359566208).

857429460 is an abundant number, since it is smaller than the sum of its proper divisors (1861702956).

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

857429460 is a wasteful number, since it uses less digits than its factorization.

857429460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 857429460 is about 29281.8964549771. The cubic root of 857429460 is about 950.0201140709.

The spelling of 857429460 in words is "eight hundred fifty-seven million, four hundred twenty-nine thousand, four hundred sixty".