420753024 has 192 divisors, whose sum is σ = 1304784000. Its totient is φ = 129724416.

The previous prime is 420752999. The next prime is 420753089. The reversal of 420753024 is 420357024.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028532 + ... + 1028940.

It is an arithmetic number, because the mean of its divisors is an integer number (6795750).

Almost surely, 2^420753024 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 420753024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652392000).

420753024 is an abundant number, since it is smaller than the sum of its proper divisors (884030976).

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

420753024 is a wasteful number, since it uses less digits than its factorization.

420753024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 420753024 is about 20512.2652088939. The cubic root of 420753024 is about 749.3345350498.

The spelling of 420753024 in words is "four hundred twenty million, seven hundred fifty-three thousand, twenty-four".