415680720 has 240 divisors, whose sum is σ = 1614896640. Its totient is φ = 87671808.

The previous prime is 415680701. The next prime is 415680743. The reversal of 415680720 is 27086514.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 151521 + ... + 154239.

It is an arithmetic number, because the mean of its divisors is an integer number (6728736).

Almost surely, 2^415680720 is an apocalyptic number.

415680720 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 415680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807448320).

415680720 is an abundant number, since it is smaller than the sum of its proper divisors (1199215920).

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

415680720 is a wasteful number, since it uses less digits than its factorization.

415680720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 415680720 is about 20388.2495570365. The cubic root of 415680720 is about 746.3112023293.

The spelling of 415680720 in words is "four hundred fifteen million, six hundred eighty thousand, seven hundred twenty".