857452680 has 384 divisors, whose sum is σ = 3355672320. Its totient is φ = 185794560.

The previous prime is 857452679. The next prime is 857452697. The reversal of 857452680 is 86254758.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4442664 + ... + 4442856.

It is an arithmetic number, because the mean of its divisors is an integer number (8738730).

Almost surely, 2^857452680 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 857452680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677836160).

857452680 is an abundant number, since it is smaller than the sum of its proper divisors (2498219640).

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

857452680 is a wasteful number, since it uses less digits than its factorization.

857452680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 857452680 is about 29282.2929430057. The cubic root of 857452680 is about 950.0286898076.

The spelling of 857452680 in words is "eight hundred fifty-seven million, four hundred fifty-two thousand, six hundred eighty".