420850600 has 48 divisors (see below), whose sum is σ = 986008320. Its totient is φ = 167044800.

The previous prime is 420850597. The next prime is 420850601. The reversal of 420850600 is 6058024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (420850601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18169 + ... + 34231.

It is an arithmetic number, because the mean of its divisors is an integer number (20541840).

Almost surely, 2^420850600 is an apocalyptic number.

420850600 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 420850600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493004160).

420850600 is an abundant number, since it is smaller than the sum of its proper divisors (565157720).

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

420850600 is a wasteful number, since it uses less digits than its factorization.

420850600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16210 (or 16201 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 420850600 is about 20514.6435504008. The cubic root of 420850600 is about 749.3924561350.

The spelling of 420850600 in words is "four hundred twenty million, eight hundred fifty thousand, six hundred".