852746401 has 8 divisors (see below), whose sum is σ = 972362664. Its totient is φ = 740847360.

The previous prime is 852746393. The next prime is 852746417. The reversal of 852746401 is 104647258.

It can be written as a sum of positive squares in 4 ways, for example, as 81018001 + 771728400 = 9001^2 + 27780^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 852746401 - 2³ = 852746393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (852746441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1929070 + ... + 1929511.

It is an arithmetic number, because the mean of its divisors is an integer number (121545333).

Almost surely, 2^852746401 is an apocalyptic number.

It is an amenable number.

852746401 is a deficient number, since it is larger than the sum of its proper divisors (119616263).

852746401 is a wasteful number, since it uses less digits than its factorization.

852746401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858611.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 852746401 is about 29201.8218780952. The cubic root of 852746401 is about 948.2873671862.

It can be divided in two parts, 852 and 746401, that added together give a triangular number (747253 = T₁₂₂₂).

The spelling of 852746401 in words is "eight hundred fifty-two million, seven hundred forty-six thousand, four hundred one".