857460 has 48 divisors (see below), whose sum is σ = 2483712. Its totient is φ = 220800.

The previous prime is 857459. The next prime is 857471. The reversal of 857460 is 64758.

It is a happy number.

857460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (51744).

2⁸⁵⁷⁴⁶⁰ 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 857460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241856).

857460 is an abundant number, since it is smaller than the sum of its proper divisors (1626252).

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

857460 is a wasteful number, since it uses less digits than its factorization.

857460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 857460 is about 925.9913606508. The cubic root of 857460 is about 95.0031393238.

857460 divided by its sum of digits (30) gives a palindrome (28582).

The spelling of 857460 in words is "eight hundred fifty-seven thousand, four hundred sixty".