416329416 has 128 divisors (see below), whose sum is σ = 1208390400. Its totient is φ = 132687360.

The previous prime is 416329409. The next prime is 416329427. The reversal of 416329416 is 614923614.

416329416 is a `hidden beast` number, since 4 + 1 + 632 + 9 + 4 + 16 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468925 + ... + 469811.

It is an arithmetic number, because the mean of its divisors is an integer number (9440550).

Almost surely, 2^416329416 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 416329416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604195200).

416329416 is an abundant number, since it is smaller than the sum of its proper divisors (792060984).

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

416329416 is a wasteful number, since it uses less digits than its factorization.

416329416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 416329416 is about 20404.1519304283. The cubic root of 416329416 is about 746.6992224680.

The spelling of 416329416 in words is "four hundred sixteen million, three hundred twenty-nine thousand, four hundred sixteen".