420468481 has 16 divisors (see below), whose sum is σ = 439552080. Its totient is φ = 401863680.

The previous prime is 420468479. The next prime is 420468487. The reversal of 420468481 is 184864024.

It can be written as a sum of positive squares in 8 ways, for example, as 13456 + 420455025 = 116^2 + 20505^2 .

It is a 3-Lehmer number, since φ(420468481) divides (420468481-1)³.

It is a cyclic number.

It is not a de Polignac number, because 420468481 - 2¹ = 420468479 is a prime.

It is a super-2 number, since 2×420468481² = 353587487028894722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420468481.

It is not an unprimeable number, because it can be changed into a prime (420468487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552141 + ... + 552901.

It is an arithmetic number, because the mean of its divisors is an integer number (27472005).

It is a Poulet number, since it divides 2^420468480-1.

Almost surely, 2^420468481 is an apocalyptic number.

It is an amenable number.

420468481 is a deficient number, since it is larger than the sum of its proper divisors (19083599).

420468481 is a wasteful number, since it uses less digits than its factorization.

420468481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 420468481 is about 20505.3281124687. The cubic root of 420468481 is about 749.1655792596.

The spelling of 420468481 in words is "four hundred twenty million, four hundred sixty-eight thousand, four hundred eighty-one".