414052560 has 360 divisors, whose sum is σ = 1547713440. Its totient is φ = 102829824.

The previous prime is 414052559. The next prime is 414052571. The reversal of 414052560 is 65250414.

414052560 is a `hidden beast` number, since 4 + 1 + 405 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7017811 + ... + 7017869.

It is an arithmetic number, because the mean of its divisors is an integer number (4299204).

Almost surely, 2^414052560 is an apocalyptic number.

414052560 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 414052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773856720).

414052560 is an abundant number, since it is smaller than the sum of its proper divisors (1133660880).

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

414052560 is a wasteful number, since it uses less digits than its factorization.

414052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 414052560 is about 20348.2814999203. The cubic root of 414052560 is about 745.3355304382.

The spelling of 414052560 in words is "four hundred fourteen million, fifty-two thousand, five hundred sixty".