420834312 has 192 divisors, whose sum is σ = 1274112000. Its totient is φ = 128532096.

The previous prime is 420834277. The next prime is 420834347. The reversal of 420834312 is 213438024.

It is an interprime number because it is at equal distance from previous prime (420834277) and next prime (420834347).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3313593 + ... + 3313719.

It is an arithmetic number, because the mean of its divisors is an integer number (6636000).

Almost surely, 2^420834312 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 420834312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637056000).

420834312 is an abundant number, since it is smaller than the sum of its proper divisors (853277688).

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

420834312 is a wasteful number, since it uses less digits than its factorization.

420834312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 420834312 is about 20514.2465618409. The cubic root of 420834312 is about 749.3827882055.

The spelling of 420834312 in words is "four hundred twenty million, eight hundred thirty-four thousand, three hundred twelve".