420437440 has 56 divisors (see below), whose sum is σ = 1003554000. Its totient is φ = 167774208.

The previous prime is 420437431. The next prime is 420437461. The reversal of 420437440 is 44734024.

420437440 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 420437399 and 420437408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158364 + ... + 160996.

Almost surely, 2^420437440 is an apocalyptic number.

420437440 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 420437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501777000).

420437440 is an abundant number, since it is smaller than the sum of its proper divisors (583116560).

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

420437440 is a wasteful number, since it uses less digits than its factorization.

420437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 420437440 is about 20504.5711976622. The cubic root of 420437440 is about 749.1471431404.

The spelling of 420437440 in words is "four hundred twenty million, four hundred thirty-seven thousand, four hundred forty".