420523840 has 112 divisors (see below), whose sum is σ = 1099840320. Its totient is φ = 151879680.

The previous prime is 420523837. The next prime is 420523847. The reversal of 420523840 is 48325024.

It is a junction number, because it is equal to n+sod(n) for n = 420523799 and 420523808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420523847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 679051 + ... + 679669.

Almost surely, 2^420523840 is an apocalyptic number.

420523840 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 420523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549920160).

420523840 is an abundant number, since it is smaller than the sum of its proper divisors (679316480).

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

420523840 is a wasteful number, since it uses less digits than its factorization.

420523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 420523840 is about 20506.6779367113. The cubic root of 420523840 is about 749.1984562680.

Adding to 420523840 its reverse (48325024), we get a palindrome (468848864).

The spelling of 420523840 in words is "four hundred twenty million, five hundred twenty-three thousand, eight hundred forty".