420956928 has 216 divisors, whose sum is σ = 1421708288. Its totient is φ = 117282816.

The previous prime is 420956911. The next prime is 420956929. The reversal of 420956928 is 829659024.

It is not an unprimeable number, because it can be changed into a prime (420956929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693201 + ... + 693807.

Almost surely, 2^420956928 is an apocalyptic number.

420956928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710854144).

420956928 is an abundant number, since it is smaller than the sum of its proper divisors (1000751360).

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

420956928 is a wasteful number, since it uses less digits than its factorization.

420956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 420956928 is about 20517.2349014189. The cubic root of 420956928 is about 749.4555622123.

The spelling of 420956928 in words is "four hundred twenty million, nine hundred fifty-six thousand, nine hundred twenty-eight".