415261440 has 432 divisors, whose sum is σ = 1635772320. Its totient is φ = 96337920.

The previous prime is 415261439. The next prime is 415261513. The reversal of 415261440 is 44162514.

415261440 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 614 + 40 = 666.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674824 + ... + 3674936.

It is an arithmetic number, because the mean of its divisors is an integer number (3786510).

Almost surely, 2^415261440 is an apocalyptic number.

415261440 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 415261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817886160).

415261440 is an abundant number, since it is smaller than the sum of its proper divisors (1220510880).

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

415261440 is a wasteful number, since it uses less digits than its factorization.

415261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415261440 is about 20377.9645696031. The cubic root of 415261440 is about 746.0601934721.

The spelling of 415261440 in words is "four hundred fifteen million, two hundred sixty-one thousand, four hundred forty".