416697408 has 84 divisors (see below), whose sum is σ = 1205527180. Its totient is φ = 137604096.

The previous prime is 416697383. The next prime is 416697427. The reversal of 416697408 is 804796614.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 301091904 = 10752^2 + 17352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59466 + ... + 66102.

Almost surely, 2^416697408 is an apocalyptic number.

416697408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416697408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602763590).

416697408 is an abundant number, since it is smaller than the sum of its proper divisors (788829772).

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

416697408 is a wasteful number, since it uses less digits than its factorization.

416697408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 416697408 is about 20413.1675151114. The cubic root of 416697408 is about 746.9191592221.

The spelling of 416697408 in words is "four hundred sixteen million, six hundred ninety-seven thousand, four hundred eight".