412572085 has 16 divisors (see below), whose sum is σ = 500932080. Its totient is φ = 326177280.

The previous prime is 412572059. The next prime is 412572101. The reversal of 412572085 is 580275214.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22193521 + 390378564 = 4711^2 + 19758^2 .

It is not a de Polignac number, because 412572085 - 2⁹ = 412571573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412572085.

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, 283219 + ... + 284671.

It is an arithmetic number, because the mean of its divisors is an integer number (31308255).

Almost surely, 2^412572085 is an apocalyptic number.

It is an amenable number.

412572085 is a deficient number, since it is larger than the sum of its proper divisors (88359995).

412572085 is a wasteful number, since it uses less digits than its factorization.

412572085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088.

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 412572085 is about 20311.8705440932. The cubic root of 412572085 is about 744.4461357890.

The spelling of 412572085 in words is "four hundred twelve million, five hundred seventy-two thousand, eighty-five".