420294080 has 56 divisors (see below), whose sum is σ = 1008235728. Its totient is φ = 166873088.

The previous prime is 420294073. The next prime is 420294089. The reversal of 420294080 is 80492024.

It is a super-2 number, since 2×420294080² = 353294227366092800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420294089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39047 + ... + 48633.

Almost surely, 2^420294080 is an apocalyptic number.

420294080 is a gapful number since it is divisible by the number (40) 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 420294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504117864).

420294080 is an abundant number, since it is smaller than the sum of its proper divisors (587941648).

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

420294080 is a wasteful number, since it uses less digits than its factorization.

420294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 420294080 is about 20501.0750937603. The cubic root of 420294080 is about 749.0619858469.

The spelling of 420294080 in words is "four hundred twenty million, two hundred ninety-four thousand, eighty".