857403456 has 224 divisors, whose sum is σ = 2883944448. Its totient is φ = 218695680.

The previous prime is 857403451. The next prime is 857403457. The reversal of 857403456 is 654304758.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (857403451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540841 + ... + 542423.

It is an arithmetic number, because the mean of its divisors is an integer number (12874752).

Almost surely, 2^857403456 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 857403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441972224).

857403456 is an abundant number, since it is smaller than the sum of its proper divisors (2026540992).

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

857403456 is a wasteful number, since it uses less digits than its factorization.

857403456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 857403456 is about 29281.4524229930. The cubic root of 857403456 is about 950.0105099484.

The spelling of 857403456 in words is "eight hundred fifty-seven million, four hundred three thousand, four hundred fifty-six".