420596000 has 192 divisors, whose sum is σ = 1151055360. Its totient is φ = 151008000.

The previous prime is 420595993. The next prime is 420596021. The reversal of 420596000 is 695024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5323961 + ... + 5324039.

It is an arithmetic number, because the mean of its divisors is an integer number (5995080).

Almost surely, 2^420596000 is an apocalyptic number.

420596000 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 420596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

420596000 is an abundant number, since it is smaller than the sum of its proper divisors (730459360).

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

420596000 is an equidigital number, since it uses as much as digits as its factorization.

420596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 420596000 is about 20508.4372881017. The cubic root of 420596000 is about 749.2413068458.

The spelling of 420596000 in words is "four hundred twenty million, five hundred ninety-six thousand".