416820672 has 84 divisors (see below), whose sum is σ = 1222598520. Its totient is φ = 135700992.

The previous prime is 416820667. The next prime is 416820707. The reversal of 416820672 is 276028614.

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 11 ways as a sum of consecutive naturals, for example, 16354 + ... + 33182.

Almost surely, 2^416820672 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 416820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611299260).

416820672 is an abundant number, since it is smaller than the sum of its proper divisors (805777848).

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

416820672 is a wasteful number, since it uses less digits than its factorization.

416820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890 (or 16877 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 416820672 is about 20416.1865195242. The cubic root of 416820672 is about 746.9928011220.

The spelling of 416820672 in words is "four hundred sixteen million, eight hundred twenty thousand, six hundred seventy-two".