420761331 has 8 divisors (see below), whose sum is σ = 623350160. Its totient is φ = 280507536.

The previous prime is 420761317. The next prime is 420761351. The reversal of 420761331 is 133167024.

420761331 is a `hidden beast` number, since 42 + 0 + 7 + 613 + 3 + 1 = 666.

It is not a de Polignac number, because 420761331 - 2²¹ = 418664179 is a prime.

It is a super-2 number, since 2×420761331² = 354080195329783122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15583753 = 420761331 / (4 + 2 + 0 + 7 + 6 + 1 + 3 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420761295 and 420761304.

It is not an unprimeable number, because it can be changed into a prime (420761351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7791850 + ... + 7791903.

It is an arithmetic number, because the mean of its divisors is an integer number (77918770).

Almost surely, 2^420761331 is an apocalyptic number.

420761331 is a deficient number, since it is larger than the sum of its proper divisors (202588829).

420761331 is a wasteful number, since it uses less digits than its factorization.

420761331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15583762 (or 15583756 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 420761331 is about 20512.4676965011. The cubic root of 420761331 is about 749.3394664313.

The spelling of 420761331 in words is "four hundred twenty million, seven hundred sixty-one thousand, three hundred thirty-one".