420191856 has 360 divisors, whose sum is σ = 1508367744. Its totient is φ = 108380160.

The previous prime is 420191843. The next prime is 420191867. The reversal of 420191856 is 658191024.

It is a super-2 number, since 2×420191856² = 353122391697449472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420191856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3718456 + ... + 3718568.

Almost surely, 2^420191856 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 420191856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754183872).

420191856 is an abundant number, since it is smaller than the sum of its proper divisors (1088175888).

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

420191856 is a wasteful number, since it uses less digits than its factorization.

420191856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 420191856 is about 20498.5818046030. The cubic root of 420191856 is about 749.0012519268.

The spelling of 420191856 in words is "four hundred twenty million, one hundred ninety-one thousand, eight hundred fifty-six".