420311892 has 144 divisors (see below), whose sum is σ = 1327174016. Its totient is φ = 100742400.

The previous prime is 420311887. The next prime is 420311909. The reversal of 420311892 is 298113024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130542 + ... + 133722.

Almost surely, 2^420311892 is an apocalyptic number.

420311892 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 420311892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663587008).

420311892 is an abundant number, since it is smaller than the sum of its proper divisors (906862124).

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

420311892 is a wasteful number, since it uses less digits than its factorization.

420311892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 420311892 is about 20501.5095053998. The cubic root of 420311892 is about 749.0725674089.

The spelling of 420311892 in words is "four hundred twenty million, three hundred eleven thousand, eight hundred ninety-two".