420450756 has 48 divisors (see below), whose sum is σ = 1088398080. Its totient is φ = 125247520.

The previous prime is 420450743. The next prime is 420450757. The reversal of 420450756 is 657054024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (420450757) 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 15 ways as a sum of consecutive naturals, for example, 19206 + ... + 34781.

It is an arithmetic number, because the mean of its divisors is an integer number (22674960).

Almost surely, 2^420450756 is an apocalyptic number.

It is an amenable number.

420450756 is an abundant number, since it is smaller than the sum of its proper divisors (667947324).

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

420450756 is a wasteful number, since it uses less digits than its factorization.

420450756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54064 (or 54062 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 420450756 is about 20504.8959031740. The cubic root of 420450756 is about 749.1550519969.

The spelling of 420450756 in words is "four hundred twenty million, four hundred fifty thousand, seven hundred fifty-six".