406681257 has 8 divisors (see below), whose sum is σ = 542373984. Its totient is φ = 271054688.

The previous prime is 406681241. The next prime is 406681267. The reversal of 406681257 is 752186604.

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 406681257 - 2⁴ = 406681241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406681207) 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, 238 + ... + 28520.

It is an arithmetic number, because the mean of its divisors is an integer number (67796748).

Almost surely, 2^406681257 is an apocalyptic number.

It is an amenable number.

406681257 is a deficient number, since it is larger than the sum of its proper divisors (135692727).

406681257 is a wasteful number, since it uses less digits than its factorization.

406681257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33079.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 406681257 is about 20166.3397025836. The cubic root of 406681257 is about 740.8859956358.

The spelling of 406681257 in words is "four hundred six million, six hundred eighty-one thousand, two hundred fifty-seven".