420309120 has 256 divisors, whose sum is σ = 1670906880. Its totient is φ = 87306240.

The previous prime is 420309091. The next prime is 420309121. The reversal of 420309120 is 21903024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420309121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146419 + ... + 149261.

It is an arithmetic number, because the mean of its divisors is an integer number (6526980).

Almost surely, 2^420309120 is an apocalyptic number.

420309120 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 420309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835453440).

420309120 is an abundant number, since it is smaller than the sum of its proper divisors (1250597760).

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

420309120 is a wasteful number, since it uses less digits than its factorization.

420309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 420309120 is about 20501.4419005103. The cubic root of 420309120 is about 749.0709206685.

The spelling of 420309120 in words is "four hundred twenty million, three hundred nine thousand, one hundred twenty".