414576960 has 448 divisors, whose sum is σ = 1685422080. Its totient is φ = 84049920.

The previous prime is 414576947. The next prime is 414576961. The reversal of 414576960 is 69675414.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414576961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2170465 + ... + 2170655.

Almost surely, 2^414576960 is an apocalyptic number.

414576960 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 414576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842711040).

414576960 is an abundant number, since it is smaller than the sum of its proper divisors (1270845120).

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

414576960 is a wasteful number, since it uses less digits than its factorization.

414576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 414576960 is about 20361.1630316149. The cubic root of 414576960 is about 745.6500549693.

The spelling of 414576960 in words is "four hundred fourteen million, five hundred seventy-six thousand, nine hundred sixty".