420521440 has 48 divisors (see below), whose sum is σ = 1004678640. Its totient is φ = 166312960.

The previous prime is 420521407. The next prime is 420521527. The reversal of 420521440 is 44125024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526 + ... + 29005.

It is an arithmetic number, because the mean of its divisors is an integer number (20930805).

Almost surely, 2^420521440 is an apocalyptic number.

420521440 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 420521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502339320).

420521440 is an abundant number, since it is smaller than the sum of its proper divisors (584157200).

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

420521440 is a wasteful number, since it uses less digits than its factorization.

420521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29635 (or 29627 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 420521440 is about 20506.6194191047. The cubic root of 420521440 is about 749.1970309982.

Adding to 420521440 its reverse (44125024), we get a palindrome (464646464).

The spelling of 420521440 in words is "four hundred twenty million, five hundred twenty-one thousand, four hundred forty".