420709000 has 64 divisors (see below), whose sum is σ = 988893360. Its totient is φ = 167526400.

The previous prime is 420708973. The next prime is 420709007. The reversal of 420709000 is 907024.

It can be written as a sum of positive squares in 8 ways, for example, as 17422276 + 403286724 = 4174^2 + 20082^2 .

It is not an unprimeable number, because it can be changed into a prime (420709007) 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, 256182 + ... + 257818.

Almost surely, 2^420709000 is an apocalyptic number.

420709000 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 420709000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494446680).

420709000 is an abundant number, since it is smaller than the sum of its proper divisors (568184360).

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

420709000 is a wasteful number, since it uses less digits than its factorization.

420709000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 420709000 is about 20511.1920667717. The cubic root of 420709000 is about 749.3083994847.

The spelling of 420709000 in words is "four hundred twenty million, seven hundred nine thousand".