416071260 has 288 divisors, whose sum is σ = 1494484992. Its totient is φ = 92559360.

The previous prime is 416071247. The next prime is 416071261. The reversal of 416071260 is 62170614.

416071260 is a `hidden beast` number, since 41 + 607 + 12 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416071261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1581889 + ... + 1582151.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2^416071260 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 416071260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747242496).

416071260 is an abundant number, since it is smaller than the sum of its proper divisors (1078413732).

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

416071260 is a wasteful number, since it uses less digits than its factorization.

416071260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 416071260 is about 20397.8248840409. The cubic root of 416071260 is about 746.5448537287.

The spelling of 416071260 in words is "four hundred sixteen million, seventy-one thousand, two hundred sixty".