420756516 has 36 divisors (see below), whose sum is σ = 1079459472. Its totient is φ = 138158064.

The previous prime is 420756509. The next prime is 420756529. The reversal of 420756516 is 615657024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 84810 + ... + 89633.

Almost surely, 2^420756516 is an apocalyptic number.

It is an amenable number.

420756516 is an abundant number, since it is smaller than the sum of its proper divisors (658702956).

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

420756516 is a wasteful number, since it uses less digits than its factorization.

420756516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174520 (or 174515 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 420756516 is about 20512.3503285216. The cubic root of 420756516 is about 749.3366080545.

The spelling of 420756516 in words is "four hundred twenty million, seven hundred fifty-six thousand, five hundred sixteen".