414421560 has 192 divisors, whose sum is σ = 1572480000. Its totient is φ = 92683008.

The previous prime is 414421549. The next prime is 414421591. The reversal of 414421560 is 65124414.

414421560 is a `hidden beast` number, since 41 + 44 + 21 + 560 = 666.

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, 116691 + ... + 120189.

It is an arithmetic number, because the mean of its divisors is an integer number (8190000).

Almost surely, 2^414421560 is an apocalyptic number.

414421560 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 414421560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).

414421560 is an abundant number, since it is smaller than the sum of its proper divisors (1158058440).

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

414421560 is a wasteful number, since it uses less digits than its factorization.

414421560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 414421560 is about 20357.3465854467. The cubic root of 414421560 is about 745.5568768538.

Adding to 414421560 its reverse (65124414), we get a palindrome (479545974).

The spelling of 414421560 in words is "four hundred fourteen million, four hundred twenty-one thousand, five hundred sixty".