416268496 has 80 divisors (see below), whose sum is σ = 960795648. Its totient is φ = 170956800.

The previous prime is 416268491. The next prime is 416268497. The reversal of 416268496 is 694862614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416268491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 391806 + ... + 392866.

Almost surely, 2^416268496 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 416268496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480397824).

416268496 is an abundant number, since it is smaller than the sum of its proper divisors (544527152).

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

416268496 is a wasteful number, since it uses less digits than its factorization.

416268496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 416268496 is about 20402.6590423895. The cubic root of 416268496 is about 746.6628000792.

The spelling of 416268496 in words is "four hundred sixteen million, two hundred sixty-eight thousand, four hundred ninety-six".