420373008 has 240 divisors, whose sum is σ = 1385107776. Its totient is φ = 117596160.

The previous prime is 420373007. The next prime is 420373013. The reversal of 420373008 is 800373024.

420373008 = 2³ + 3³ + ... + 202³.

It is a Cunningham number, because it is equal to 20503²-1.

It is not an unprimeable number, because it can be changed into a prime (420373003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1804060 + ... + 1804292.

Almost surely, 2^420373008 is an apocalyptic number.

420373008 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 420373008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692553888).

420373008 is an abundant number, since it is smaller than the sum of its proper divisors (964734768).

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

420373008 is a wasteful number, since it uses less digits than its factorization.

420373008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 420373008 is about 20502.9999756133. Note that the first 4 decimals coincide. The cubic root of 420373008 is about 749.1088722745.

The spelling of 420373008 in words is "four hundred twenty million, three hundred seventy-three thousand, eight".