420564744 has 128 divisors (see below), whose sum is σ = 1209744000. Its totient is φ = 135302400.

The previous prime is 420564721. The next prime is 420564773. The reversal of 420564744 is 447465024.

420564744 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 647 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 420564699 and 420564708.

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 31 ways as a sum of consecutive naturals, for example, 777114 + ... + 777654.

It is an arithmetic number, because the mean of its divisors is an integer number (9451125).

Almost surely, 2^420564744 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 420564744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604872000).

420564744 is an abundant number, since it is smaller than the sum of its proper divisors (789179256).

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

420564744 is a wasteful number, since it uses less digits than its factorization.

420564744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 420564744 is about 20507.6752461121. The cubic root of 420564744 is about 749.2227467815. Note that the first 3 decimals are identical.

The spelling of 420564744 in words is "four hundred twenty million, five hundred sixty-four thousand, seven hundred forty-four".