406331601 has 48 divisors (see below), whose sum is σ = 613896192. Its totient is φ = 238680000.

The previous prime is 406331599. The next prime is 406331623. The reversal of 406331601 is 106133604.

It is not a de Polignac number, because 406331601 - 2¹ = 406331599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406331641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1618726 + ... + 1618976.

It is an arithmetic number, because the mean of its divisors is an integer number (12789504).

Almost surely, 2^406331601 is an apocalyptic number.

It is an amenable number.

406331601 is a deficient number, since it is larger than the sum of its proper divisors (207564591).

406331601 is a wasteful number, since it uses less digits than its factorization.

406331601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 406331601 is about 20157.6685407812. The cubic root of 406331601 is about 740.6736020162.

The spelling of 406331601 in words is "four hundred six million, three hundred thirty-one thousand, six hundred one".