420939024 has 160 divisors (see below), whose sum is σ = 1227969024. Its totient is φ = 123171840.

The previous prime is 420939017. The next prime is 420939041.

420939024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582367 + ... + 2582529.

Almost surely, 2^420939024 is an apocalyptic number.

420939024 is a gapful number since it is divisible by the number (44) 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 420939024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613984512).

420939024 is an abundant number, since it is smaller than the sum of its proper divisors (807030000).

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

420939024 is a wasteful number, since it uses less digits than its factorization.

420939024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 420939024 is about 20516.7985806753. The cubic root of 420939024 is about 749.4449368634. Note that the first 3 decimals are identical.

The spelling of 420939024 in words is "four hundred twenty million, nine hundred thirty-nine thousand, twenty-four".