420106416 has 40 divisors (see below), whose sum is σ = 1142397120. Its totient is φ = 132664896.

The previous prime is 420106411. The next prime is 420106417. The reversal of 420106416 is 614601024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (420106411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229410 + ... + 231233.

It is an arithmetic number, because the mean of its divisors is an integer number (28559928).

Almost surely, 2^420106416 is an apocalyptic number.

It is an amenable number.

420106416 is an abundant number, since it is smaller than the sum of its proper divisors (722290704).

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

420106416 is a wasteful number, since it uses less digits than its factorization.

420106416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460673 (or 460667 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 420106416 is about 20496.4976520380. The cubic root of 420106416 is about 748.9504822573.

The spelling of 420106416 in words is "four hundred twenty million, one hundred six thousand, four hundred sixteen".