409907997 has 12 divisors (see below), whose sum is σ = 593159580. Its totient is φ = 272778048.

The previous prime is 409907969. The next prime is 409908019. The reversal of 409907997 is 799709904.

It can be written as a sum of positive squares in 2 ways, for example, as 46090521 + 363817476 = 6789^2 + 19074^2 .

It is not a de Polignac number, because 409907997 - 2¹⁸ = 409645853 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409907297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35872 + ... + 45897.

It is an arithmetic number, because the mean of its divisors is an integer number (49429965).

Almost surely, 2^409907997 is an apocalyptic number.

It is an amenable number.

409907997 is a deficient number, since it is larger than the sum of its proper divisors (183251583).

409907997 is a wasteful number, since it uses less digits than its factorization.

409907997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82332 (or 82329 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 409907997 is about 20246.1847517008. The cubic root of 409907997 is about 742.8403119795.

The spelling of 409907997 in words is "four hundred nine million, nine hundred seven thousand, nine hundred ninety-seven".