407473921 has 2 divisors, whose sum is σ = 407473922. Its totient is φ = 407473920.

The previous prime is 407473849. The next prime is 407473939. The reversal of 407473921 is 129374704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224250625 + 183223296 = 14975^2 + 13536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407473921 is a prime.

It is a super-2 number, since 2×407473921² = 332069992590228482, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (407473991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203736960 + 203736961.

It is an arithmetic number, because the mean of its divisors is an integer number (203736961).

Almost surely, 2^407473921 is an apocalyptic number.

It is an amenable number.

407473921 is a deficient number, since it is larger than the sum of its proper divisors (1).

407473921 is an equidigital number, since it uses as much as digits as its factorization.

407473921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 407473921 is about 20185.9832804845. The cubic root of 407473921 is about 741.3670378172.

The spelling of 407473921 in words is "four hundred seven million, four hundred seventy-three thousand, nine hundred twenty-one".