857401000 has 64 divisors (see below), whose sum is σ = 2060632080. Its totient is φ = 333676800.

The previous prime is 857400997. The next prime is 857401009. The reversal of 857401000 is 104758.

857401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3709476 + 853691524 = 1926^2 + 29218^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (857401009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25414 + ... + 48586.

Almost surely, 2^857401000 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 857401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030316040).

857401000 is an abundant number, since it is smaller than the sum of its proper divisors (1203231080).

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

857401000 is a wasteful number, since it uses less digits than its factorization.

857401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23231 (or 23217 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 857401000 is about 29281.4104851525. The cubic root of 857401000 is about 950.0096028577.

Adding to 857401000 its reverse (104758), we get a palindrome (857505758).

The spelling of 857401000 in words is "eight hundred fifty-seven million, four hundred one thousand".