420562944 has 72 divisors (see below), whose sum is σ = 1214716230. Its totient is φ = 140181504.

The previous prime is 420562943. The next prime is 420562951. The reversal of 420562944 is 449265024.

420562944 is a `hidden beast` number, since 4 + 2 + 0 + 562 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 221414400 + 199148544 = 14880^2 + 14112^2 .

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

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 = 420562899 and 420562908.

It is not an unprimeable number, because it can be changed into a prime (420562943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7024 + ... + 29840.

Almost surely, 2^420562944 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 420562944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607358115).

420562944 is an abundant number, since it is smaller than the sum of its proper divisors (794153286).

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

420562944 is a wasteful number, since it uses less digits than its factorization.

420562944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22845 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 420562944 is about 20507.6313600572. The cubic root of 420562944 is about 749.2216778990.

The spelling of 420562944 in words is "four hundred twenty million, five hundred sixty-two thousand, nine hundred forty-four".