407999601 has 9 divisors (see below), whose sum is σ = 589420299. Its totient is φ = 271959336.

The previous prime is 407999591. The next prime is 407999681. The reversal of 407999601 is 106999704.

The square root of 407999601 is 20199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 405821025 + 2178576 = 20145^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 407999601 - 2¹⁷ = 407868529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407999681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57231 + ... + 63963.

Almost surely, 2^407999601 is an apocalyptic number.

407999601 is the 20199-th square number.

407999601 is the 10100-th centered octagonal number.

It is an amenable number.

407999601 is a deficient number, since it is larger than the sum of its proper divisors (181420698).

407999601 is an frugal number, since it uses more digits than its factorization.

407999601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The cubic root of 407999601 is about 741.6857120781.

The spelling of 407999601 in words is "four hundred seven million, nine hundred ninety-nine thousand, six hundred one".