420540414 has 32 divisors (see below), whose sum is σ = 1011828480. Its totient is φ = 113830272.

The previous prime is 420540401. The next prime is 420540481. The reversal of 420540414 is 414045024.

It is a happy number.

It is a Curzon number.

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, 262699 + ... + 264294.

It is an arithmetic number, because the mean of its divisors is an integer number (31619640).

Almost surely, 2^420540414 is an apocalyptic number.

420540414 is an abundant number, since it is smaller than the sum of its proper divisors (591288066).

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

420540414 is a wasteful number, since it uses less digits than its factorization.

420540414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527024.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 420540414 is about 20507.0820449912. The cubic root of 420540414 is about 749.2082987952.

Adding to 420540414 its reverse (414045024), we get a palindrome (834585438).

The spelling of 420540414 in words is "four hundred twenty million, five hundred forty thousand, four hundred fourteen".