420677712 has 480 divisors, whose sum is σ = 1592398080. Its totient is φ = 104509440.

The previous prime is 420677701. The next prime is 420677717. The reversal of 420677712 is 217776024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420677717) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10260412 + ... + 10260452.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^420677712 is an apocalyptic number.

420677712 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 420677712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796199040).

420677712 is an abundant number, since it is smaller than the sum of its proper divisors (1171720368).

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

420677712 is a wasteful number, since it uses less digits than its factorization.

420677712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 420677712 is about 20510.4293470420. The cubic root of 420677712 is about 749.2898237452.

It can be divided in two parts, 4206 and 77712, that added together give a palindrome (81918).

The spelling of 420677712 in words is "four hundred twenty million, six hundred seventy-seven thousand, seven hundred twelve".