407080981 has 2 divisors, whose sum is σ = 407080982. Its totient is φ = 407080980.

The previous prime is 407080951. The next prime is 407080991. The reversal of 407080981 is 189080704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405377956 + 1703025 = 20134^2 + 1305^2 .

It is a cyclic number.

It is not a de Polignac number, because 407080981 - 2⁹ = 407080469 is a prime.

It is a super-2 number, since 2×407080981² = 331429850183844722, which contains 22 as substring.

It is a Chen prime.

It is equal to p_21693682 and since 407080981 and 21693682 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 407080981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407080931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203540490 + 203540491.

It is an arithmetic number, because the mean of its divisors is an integer number (203540491).

Almost surely, 2^407080981 is an apocalyptic number.

It is an amenable number.

407080981 is a deficient number, since it is larger than the sum of its proper divisors (1).

407080981 is an equidigital number, since it uses as much as digits as its factorization.

407080981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 407080981 is about 20176.2479415772. The cubic root of 407080981 is about 741.1286532731.

The spelling of 407080981 in words is "four hundred seven million, eighty thousand, nine hundred eighty-one".