420045024 has 96 divisors (see below), whose sum is σ = 1280918016. Its totient is φ = 118033920.

The previous prime is 420045011. The next prime is 420045091. The reversal of 420045024 is 420540024.

It is a Cunningham number, because it is equal to 20495²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35869 + ... + 46115.

It is an arithmetic number, because the mean of its divisors is an integer number (13342896).

Almost surely, 2^420045024 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 420045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640459008).

420045024 is an abundant number, since it is smaller than the sum of its proper divisors (860872992).

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

420045024 is a wasteful number, since it uses less digits than its factorization.

420045024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 420045024 is about 20494.9999756038. Note that the first 4 decimals coincide. The cubic root of 420045024 is about 748.9139980030.

Adding to 420045024 its reverse (420540024), we get a palindrome (840585048).

The spelling of 420045024 in words is "four hundred twenty million, forty-five thousand, twenty-four".