420788592 has 240 divisors, whose sum is σ = 1436098560. Its totient is φ = 112347648.

The previous prime is 420788591. The next prime is 420788593. The reversal of 420788592 is 295887024.

It is an interprime number because it is at equal distance from previous prime (420788591) and next prime (420788593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420788591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2432218 + ... + 2432390.

It is an arithmetic number, because the mean of its divisors is an integer number (5983744).

Almost surely, 2^420788592 is an apocalyptic number.

420788592 is a gapful number since it is divisible by the number (42) 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 420788592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718049280).

420788592 is an abundant number, since it is smaller than the sum of its proper divisors (1015309968).

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

420788592 is a wasteful number, since it uses less digits than its factorization.

420788592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 420788592 is about 20513.1321840425. The cubic root of 420788592 is about 749.3556492413.

The spelling of 420788592 in words is "four hundred twenty million, seven hundred eighty-eight thousand, five hundred ninety-two".