420123888 has 80 divisors (see below), whose sum is σ = 1258371840. Its totient is φ = 133949376.

The previous prime is 420123887. The next prime is 420123901. The reversal of 420123888 is 888321024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420123887) 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, 11206 + ... + 31077.

It is an arithmetic number, because the mean of its divisors is an integer number (15729648).

Almost surely, 2^420123888 is an apocalyptic number.

420123888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420123888 is an abundant number, since it is smaller than the sum of its proper divisors (838247952).

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

420123888 is a wasteful number, since it uses less digits than its factorization.

420123888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42323 (or 42311 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 420123888 is about 20496.9238667660. The cubic root of 420123888 is about 748.9608649293.

The spelling of 420123888 in words is "four hundred twenty million, one hundred twenty-three thousand, eight hundred eighty-eight".