419924016 has 120 divisors (see below), whose sum is σ = 1277219840. Its totient is φ = 128304000.

The previous prime is 419923979. The next prime is 419924051. The reversal of 419924016 is 610429914.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82341 + ... + 87291.

Almost surely, 2^419924016 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 419924016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638609920).

419924016 is an abundant number, since it is smaller than the sum of its proper divisors (857295824).

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

419924016 is a wasteful number, since it uses less digits than its factorization.

419924016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 419924016 is about 20492.0476282874. The cubic root of 419924016 is about 748.8420745315.

The spelling of 419924016 in words is "four hundred nineteen million, nine hundred twenty-four thousand, sixteen".