420323024 has 60 divisors (see below), whose sum is σ = 900463200. Its totient is φ = 189921600.

The previous prime is 420323023. The next prime is 420323027.

420323024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420322987 and 420323005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420323023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384719 + ... + 385809.

It is an arithmetic number, because the mean of its divisors is an integer number (15007720).

Almost surely, 2^420323024 is an apocalyptic number.

420323024 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 420323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450231600).

420323024 is an abundant number, since it is smaller than the sum of its proper divisors (480140176).

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

420323024 is a wasteful number, since it uses less digits than its factorization.

420323024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 420323024 is about 20501.7809958062. The cubic root of 420323024 is about 749.0791804363.

The spelling of 420323024 in words is "four hundred twenty million, three hundred twenty-three thousand, twenty-four".