414486072 has 448 divisors, whose sum is σ = 1586511360. Its totient is φ = 97977600.

The previous prime is 414486071. The next prime is 414486077. The reversal of 414486072 is 270684414.

414486072 is a `hidden beast` number, since 4 + 1 + 4 + 48 + 607 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414486071) 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 111 ways as a sum of consecutive naturals, for example, 5837797 + ... + 5837867.

It is an arithmetic number, because the mean of its divisors is an integer number (3541320).

Almost surely, 2^414486072 is an apocalyptic number.

414486072 is a gapful number since it is divisible by the number (42) 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 414486072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793255680).

414486072 is an abundant number, since it is smaller than the sum of its proper divisors (1172025288).

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

414486072 is a wasteful number, since it uses less digits than its factorization.

414486072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 414486072 is about 20358.9310131942. The cubic root of 414486072 is about 745.5955611907.

The spelling of 414486072 in words is "four hundred fourteen million, four hundred eighty-six thousand, seventy-two".