414345960 has 288 divisors, whose sum is σ = 1590956640. Its totient is φ = 93235968.

The previous prime is 414345941. The next prime is 414345961. The reversal of 414345960 is 69543414.

414345960 is a `hidden beast` number, since 4 + 143 + 459 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (414345961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1463979 + ... + 1464261.

It is an arithmetic number, because the mean of its divisors is an integer number (5524155).

Almost surely, 2^414345960 is an apocalyptic number.

414345960 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 414345960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795478320).

414345960 is an abundant number, since it is smaller than the sum of its proper divisors (1176610680).

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

414345960 is a wasteful number, since it uses less digits than its factorization.

414345960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 414345960 is about 20355.4896772345. The cubic root of 414345960 is about 745.5115385373.

The spelling of 414345960 in words is "four hundred fourteen million, three hundred forty-five thousand, nine hundred sixty".