416892480 has 224 divisors, whose sum is σ = 1404518400. Its totient is φ = 104552448.

The previous prime is 416892451. The next prime is 416892493. The reversal of 416892480 is 84298614.

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 31 ways as a sum of consecutive naturals, for example, 1744201 + ... + 1744439.

Almost surely, 2^416892480 is an apocalyptic number.

416892480 is a gapful number since it is divisible by the number (40) 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 416892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259200).

416892480 is an abundant number, since it is smaller than the sum of its proper divisors (987625920).

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

416892480 is a wasteful number, since it uses less digits than its factorization.

416892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 416892480 is about 20417.9450484127. The cubic root of 416892480 is about 747.0356948512.

The spelling of 416892480 in words is "four hundred sixteen million, eight hundred ninety-two thousand, four hundred eighty".