420746928 has 60 divisors (see below), whose sum is σ = 1264394520. Its totient is φ = 120212736.

The previous prime is 420746927. The next prime is 420746929. The reversal of 420746928 is 829647024.

It is an interprime number because it is at equal distance from previous prime (420746927) and next prime (420746929).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 420746928.

It is not an unprimeable number, because it can be changed into a prime (420746927) 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 11 ways as a sum of consecutive naturals, for example, 87093 + ... + 91796.

It is an arithmetic number, because the mean of its divisors is an integer number (21073242).

Almost surely, 2^420746928 is an apocalyptic number.

420746928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420746928 is an abundant number, since it is smaller than the sum of its proper divisors (843647592).

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

420746928 is a wasteful number, since it uses less digits than its factorization.

420746928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178914 (or 178901 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 420746928 is about 20512.1166143331. The cubic root of 420746928 is about 749.3309161688.

The spelling of 420746928 in words is "four hundred twenty million, seven hundred forty-six thousand, nine hundred twenty-eight".