420628464 has 100 divisors (see below), whose sum is σ = 1238280120. Its totient is φ = 137808000.

The previous prime is 420628463. The next prime is 420628477. The reversal of 420628464 is 464826024.

It is a happy number.

420628464 is a `hidden beast` number, since 4 + 20 + 628 + 4 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420628463) 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 19 ways as a sum of consecutive naturals, for example, 73714 + ... + 79214.

Almost surely, 2^420628464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619140060).

420628464 is an abundant number, since it is smaller than the sum of its proper divisors (817651656).

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

420628464 is a wasteful number, since it uses less digits than its factorization.

420628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 420628464 is about 20509.2287519546. The cubic root of 420628464 is about 749.2605832567.

The spelling of 420628464 in words is "four hundred twenty million, six hundred twenty-eight thousand, four hundred sixty-four".