420063264 has 72 divisors (see below), whose sum is σ = 1211438592. Its totient is φ = 138042240.

The previous prime is 420063233. The next prime is 420063269. The reversal of 420063264 is 462360024.

420063264 is a `hidden beast` number, since 4 + 20 + 0 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (420063269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10177 + ... + 30719.

It is an arithmetic number, because the mean of its divisors is an integer number (16825536).

Almost surely, 2^420063264 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 420063264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605719296).

420063264 is an abundant number, since it is smaller than the sum of its proper divisors (791375328).

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

420063264 is a wasteful number, since it uses less digits than its factorization.

420063264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20630 (or 20619 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 420063264 is about 20495.4449573558. Note that the first 3 decimals coincide. The cubic root of 420063264 is about 748.9248381057.

The spelling of 420063264 in words is "four hundred twenty million, sixty-three thousand, two hundred sixty-four".