420068376 has 384 divisors, whose sum is σ = 1516838400. Its totient is φ = 106686720.

The previous prime is 420068371. The next prime is 420068381. The reversal of 420068376 is 673860024.

It is an interprime number because it is at equal distance from previous prime (420068371) and next prime (420068381).

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 420068376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420068371) 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, 5916421 + ... + 5916491.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^420068376 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 420068376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758419200).

420068376 is an abundant number, since it is smaller than the sum of its proper divisors (1096770024).

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

420068376 is a wasteful number, since it uses less digits than its factorization.

420068376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 420068376 is about 20495.5696676135. The cubic root of 420068376 is about 748.9278761308.

The spelling of 420068376 in words is "four hundred twenty million, sixty-eight thousand, three hundred seventy-six".