420612416 has 56 divisors (see below), whose sum is σ = 970117440. Its totient is φ = 177196032.

The previous prime is 420612407. The next prime is 420612421. The reversal of 420612416 is 614216024.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18476 + ... + 34388.

Almost surely, 2^420612416 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 420612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485058720).

420612416 is an abundant number, since it is smaller than the sum of its proper divisors (549505024).

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

420612416 is a wasteful number, since it uses less digits than its factorization.

420612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15991 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 420612416 is about 20508.8375097176. The cubic root of 420612416 is about 749.2510544304.

The spelling of 420612416 in words is "four hundred twenty million, six hundred twelve thousand, four hundred sixteen".