415880640 has 336 divisors, whose sum is σ = 1672132800. Its totient is φ = 94832640.

The previous prime is 415880617. The next prime is 415880651. The reversal of 415880640 is 46088514.

415880640 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 415880595 and 415880604.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 987630 + ... + 988050.

Almost surely, 2^415880640 is an apocalyptic number.

415880640 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 415880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836066400).

415880640 is an abundant number, since it is smaller than the sum of its proper divisors (1256252160).

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

415880640 is a wasteful number, since it uses less digits than its factorization.

415880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 415880640 is about 20393.1517917167. The cubic root of 415880640 is about 746.4308282949.

The spelling of 415880640 in words is "four hundred fifteen million, eight hundred eighty thousand, six hundred forty".