420467712 has 88 divisors (see below), whose sum is σ = 1280865216. Its totient is φ = 120127488.

The previous prime is 420467657. The next prime is 420467731. The reversal of 420467712 is 217764024.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11728 + ... + 31280.

Almost surely, 2^420467712 is an apocalyptic number.

420467712 is a gapful number since it is divisible by the number (42) 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 420467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640432608).

420467712 is an abundant number, since it is smaller than the sum of its proper divisors (860397504).

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

420467712 is a wasteful number, since it uses less digits than its factorization.

420467712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19583 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 420467712 is about 20505.3093612362. The cubic root of 420467712 is about 749.1651225399.

The spelling of 420467712 in words is "four hundred twenty million, four hundred sixty-seven thousand, seven hundred twelve".