418564420 has 24 divisors (see below), whose sum is σ = 879389784. Its totient is φ = 167348736.

The previous prime is 418564417. The next prime is 418564423. The reversal of 418564420 is 24465814.

It is an interprime number because it is at equal distance from previous prime (418564417) and next prime (418564423).

It can be written as a sum of positive squares in 4 ways, for example, as 131194116 + 287370304 = 11454^2 + 16952^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (418564423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63102 + ... + 69418.

It is an arithmetic number, because the mean of its divisors is an integer number (36641241).

Almost surely, 2^418564420 is an apocalyptic number.

It is an amenable number.

418564420 is an abundant number, since it is smaller than the sum of its proper divisors (460825364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

418564420 is a wasteful number, since it uses less digits than its factorization.

418564420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9639 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 418564420 is about 20458.8469860840. The cubic root of 418564420 is about 748.0330206476.

The spelling of 418564420 in words is "four hundred eighteen million, five hundred sixty-four thousand, four hundred twenty".