420141024 has 72 divisors (see below), whose sum is σ = 1196755560. Its totient is φ = 139815168.

The previous prime is 420141013. The next prime is 420141049.

420141024 is nontrivially palindromic in base 10.

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 (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 420140988 and 420141006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341242 + ... + 342470.

It is an arithmetic number, because the mean of its divisors is an integer number (16621605).

Almost surely, 2^420141024 is an apocalyptic number.

It is an amenable number.

420141024 is an abundant number, since it is smaller than the sum of its proper divisors (776614536).

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

420141024 is a wasteful number, since it uses less digits than its factorization.

420141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 420141024 is about 20497.3418764483. The cubic root of 420141024 is about 748.9710476550.

The spelling of 420141024 in words is "four hundred twenty million, one hundred forty-one thousand, twenty-four".