420477930 has 96 divisors (see below), whose sum is σ = 1121986944. Its totient is φ = 109219968.

The previous prime is 420477929. The next prime is 420477943. The reversal of 420477930 is 39774024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620752 + ... + 621428.

It is an arithmetic number, because the mean of its divisors is an integer number (11687364).

Almost surely, 2^420477930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420477930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560993472).

420477930 is an abundant number, since it is smaller than the sum of its proper divisors (701509014).

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

420477930 is a wasteful number, since it uses less digits than its factorization.

420477930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 420477930 is about 20505.5585147052. The cubic root of 420477930 is about 749.1711911051.

The spelling of 420477930 in words is "four hundred twenty million, four hundred seventy-seven thousand, nine hundred thirty".