416789296 has 120 divisors (see below), whose sum is σ = 1058503680. Its totient is φ = 157046400.

The previous prime is 416789291. The next prime is 416789311. The reversal of 416789296 is 692987614.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (416789291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266565 + ... + 268123.

It is an arithmetic number, because the mean of its divisors is an integer number (8820864).

Almost surely, 2^416789296 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 416789296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529251840).

416789296 is an abundant number, since it is smaller than the sum of its proper divisors (641714384).

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

416789296 is a wasteful number, since it uses less digits than its factorization.

416789296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1610 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 416789296 is about 20415.4180951554. The cubic root of 416789296 is about 746.9740574625.

The spelling of 416789296 in words is "four hundred sixteen million, seven hundred eighty-nine thousand, two hundred ninety-six".