420426600 has 144 divisors (see below), whose sum is σ = 1432824960. Its totient is φ = 101904000.

The previous prime is 420426569. The next prime is 420426631. The reversal of 420426600 is 6624024.

It is an interprime number because it is at equal distance from previous prime (420426569) and next prime (420426631).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69705 + ... + 75495.

Almost surely, 2^420426600 is an apocalyptic number.

420426600 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 420426600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716412480).

420426600 is an abundant number, since it is smaller than the sum of its proper divisors (1012398360).

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

420426600 is a wasteful number, since it uses less digits than its factorization.

420426600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 420426600 is about 20504.3068646565. The cubic root of 420426600 is about 749.1407047471.

The spelling of 420426600 in words is "four hundred twenty million, four hundred twenty-six thousand, six hundred".