416331264 has 160 divisors (see below), whose sum is σ = 1162782720. Its totient is φ = 132268032.

The previous prime is 416331263. The next prime is 416331269. The reversal of 416331264 is 462133614.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416331263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269977 + ... + 5270055.

It is an arithmetic number, because the mean of its divisors is an integer number (7267392).

Almost surely, 2^416331264 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 416331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581391360).

416331264 is an abundant number, since it is smaller than the sum of its proper divisors (746451456).

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

416331264 is an equidigital number, since it uses as much as digits as its factorization.

416331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 416331264 is about 20404.1972152790. The cubic root of 416331264 is about 746.7003272807.

Adding to 416331264 its reverse (462133614), we get a palindrome (878464878).

The spelling of 416331264 in words is "four hundred sixteen million, three hundred thirty-one thousand, two hundred sixty-four".