420064320 has 224 divisors, whose sum is σ = 1455285888. Its totient is φ = 102039552.

The previous prime is 420064303. The next prime is 420064327. The reversal of 420064320 is 23460024.

It is not an unprimeable number, because it can be changed into a prime (420064327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210387 + ... + 1210733.

It is an arithmetic number, because the mean of its divisors is an integer number (6496812).

Almost surely, 2^420064320 is an apocalyptic number.

420064320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727642944).

420064320 is an abundant number, since it is smaller than the sum of its proper divisors (1035221568).

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

420064320 is a wasteful number, since it uses less digits than its factorization.

420064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 420064320 is about 20495.4707191613. The cubic root of 420064320 is about 748.9254656810.

The spelling of 420064320 in words is "four hundred twenty million, sixty-four thousand, three hundred twenty".