420677664 has 48 divisors (see below), whose sum is σ = 1204670880. Its totient is φ = 127477760.

The previous prime is 420677639. The next prime is 420677687. The reversal of 420677664 is 466776024.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198129 + ... + 200240.

It is an arithmetic number, because the mean of its divisors is an integer number (25097310).

Almost surely, 2^420677664 is an apocalyptic number.

420677664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420677664 is an abundant number, since it is smaller than the sum of its proper divisors (783993216).

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

420677664 is a wasteful number, since it uses less digits than its factorization.

420677664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398393 (or 398385 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 420677664 is about 20510.4281769055. The cubic root of 420677664 is about 749.2897952468.

The spelling of 420677664 in words is "four hundred twenty million, six hundred seventy-seven thousand, six hundred sixty-four".