420963066 has 48 divisors (see below), whose sum is σ = 955371456. Its totient is φ = 133708608.

The previous prime is 420963019. The next prime is 420963073. The reversal of 420963066 is 660369024.

It is a super-2 number, since 2×420963066² = 354419805872240712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420963066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115366 + ... + 118958.

It is an arithmetic number, because the mean of its divisors is an integer number (19903572).

Almost surely, 2^420963066 is an apocalyptic number.

420963066 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420963066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477685728).

420963066 is an abundant number, since it is smaller than the sum of its proper divisors (534408390).

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

420963066 is a wasteful number, since it uses less digits than its factorization.

420963066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 420963066 is about 20517.3844824334. The cubic root of 420963066 is about 749.4592048145.

The spelling of 420963066 in words is "four hundred twenty million, nine hundred sixty-three thousand, sixty-six".