414660960 has 288 divisors, whose sum is σ = 1670602752. Its totient is φ = 91653120.

The previous prime is 414660947. The next prime is 414660971. The reversal of 414660960 is 69066414.

414660960 is a `hidden beast` number, since 4 + 1 + 46 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 311817 + ... + 313143.

It is an arithmetic number, because the mean of its divisors is an integer number (5800704).

Almost surely, 2^414660960 is an apocalyptic number.

414660960 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 414660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835301376).

414660960 is an abundant number, since it is smaller than the sum of its proper divisors (1255941792).

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

414660960 is a wasteful number, since it uses less digits than its factorization.

414660960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 414660960 is about 20363.2256776769. The cubic root of 414660960 is about 745.7004118237.

The spelling of 414660960 in words is "four hundred fourteen million, six hundred sixty thousand, nine hundred sixty".