420582700 has 72 divisors (see below), whose sum is σ = 951126624. Its totient is φ = 161280000.

The previous prime is 420582697. The next prime is 420582709. The reversal of 420582700 is 7285024.

It is not an unprimeable number, because it can be changed into a prime (420582709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261900 + ... + 263500.

It is an arithmetic number, because the mean of its divisors is an integer number (13210092).

Almost surely, 2^420582700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420582700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475563312).

420582700 is an abundant number, since it is smaller than the sum of its proper divisors (530543924).

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

420582700 is a wasteful number, since it uses less digits than its factorization.

420582700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 420582700 is about 20508.1130287504. The cubic root of 420582700 is about 749.2334093112.

The spelling of 420582700 in words is "four hundred twenty million, five hundred eighty-two thousand, seven hundred".