420363920 has 40 divisors (see below), whose sum is σ = 981770496. Its totient is φ = 167384448.

The previous prime is 420363907. The next prime is 420363929. The reversal of 420363920 is 29363024.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (420363929) 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, 6059 + ... + 29621.

Almost surely, 2^420363920 is an apocalyptic number.

420363920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420363920 is an abundant number, since it is smaller than the sum of its proper divisors (561406576).

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

420363920 is a wasteful number, since it uses less digits than its factorization.

420363920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23799 (or 23793 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 420363920 is about 20502.7783483117. The cubic root of 420363920 is about 749.1034739336.

The spelling of 420363920 in words is "four hundred twenty million, three hundred sixty-three thousand, nine hundred twenty".