420379416 has 64 divisors (see below), whose sum is σ = 1171123200. Its totient is φ = 139718304.

The previous prime is 420379409. The next prime is 420379423. The reversal of 420379416 is 614973024.

It is an interprime number because it is at equal distance from previous prime (420379409) and next prime (420379423).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76621 + ... + 81923.

It is an arithmetic number, because the mean of its divisors is an integer number (18298800).

Almost surely, 2^420379416 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 420379416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585561600).

420379416 is an abundant number, since it is smaller than the sum of its proper divisors (750743784).

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

420379416 is a wasteful number, since it uses less digits than its factorization.

420379416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 420379416 is about 20503.1562448322. The cubic root of 420379416 is about 749.1126786284.

The spelling of 420379416 in words is "four hundred twenty million, three hundred seventy-nine thousand, four hundred sixteen".