420659088 has 80 divisors (see below), whose sum is σ = 1180876800. Its totient is φ = 128545920.

The previous prime is 420659087. The next prime is 420659089. The reversal of 420659088 is 880956024.

It is an interprime number because it is at equal distance from previous prime (420659087) and next prime (420659089).

It is not an unprimeable number, because it can be changed into a prime (420659081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20833 + ... + 35711.

It is an arithmetic number, because the mean of its divisors is an integer number (14760960).

Almost surely, 2^420659088 is an apocalyptic number.

420659088 is a gapful number since it is divisible by the number (48) 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 420659088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590438400).

420659088 is an abundant number, since it is smaller than the sum of its proper divisors (760217712).

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

420659088 is a wasteful number, since it uses less digits than its factorization.

420659088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14940 (or 14934 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 420659088 is about 20509.9753290929. The cubic root of 420659088 is about 749.2787662070.

The spelling of 420659088 in words is "four hundred twenty million, six hundred fifty-nine thousand, eighty-eight".