416721816 has 144 divisors (see below), whose sum is σ = 1370669040. Its totient is φ = 112020480.

The previous prime is 416721757. The next prime is 416721821. The reversal of 416721816 is 618127614.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144226 + ... + 147086.

It is an arithmetic number, because the mean of its divisors is an integer number (9518535).

Almost surely, 2^416721816 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 416721816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685334520).

416721816 is an abundant number, since it is smaller than the sum of its proper divisors (953947224).

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

416721816 is a wasteful number, since it uses less digits than its factorization.

416721816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2890 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 416721816 is about 20413.7653557593. The cubic root of 416721816 is about 746.9337425037.

The spelling of 416721816 in words is "four hundred sixteen million, seven hundred twenty-one thousand, eight hundred sixteen".