412580953 has 16 divisors (see below), whose sum is σ = 451008000. Its totient is φ = 375978240.

The previous prime is 412580951. The next prime is 412581011. The reversal of 412580953 is 359085214.

It is a cyclic number.

It is not a de Polignac number, because 412580953 - 2¹ = 412580951 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412580951) 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, 99873 + ... + 103921.

It is an arithmetic number, because the mean of its divisors is an integer number (28188000).

Almost surely, 2^412580953 is an apocalyptic number.

It is an amenable number.

412580953 is a deficient number, since it is larger than the sum of its proper divisors (38427047).

412580953 is a wasteful number, since it uses less digits than its factorization.

412580953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272.

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 412580953 is about 20312.0888389156. The cubic root of 412580953 is about 744.4514695648.

It can be divided in two parts, 4125 and 80953, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 412580953 in words is "four hundred twelve million, five hundred eighty thousand, nine hundred fifty-three".