360414020 has 12 divisors (see below), whose sum is σ = 756869484. Its totient is φ = 144165600.

The previous prime is 360414013. The next prime is 360414023. The reversal of 360414020 is 20414063.

It is a happy number.

360414020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 286557184 + 73856836 = 16928^2 + 8594^2 .

It is a super-4 number, since 4×360414020⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 18020701 = 360414020 / (3 + 6 + 0 + 4 + 1 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 360413983 and 360414001.

It is not an unprimeable number, because it can be changed into a prime (360414023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9010331 + ... + 9010370.

It is an arithmetic number, because the mean of its divisors is an integer number (63072457).

Almost surely, 2^360414020 is an apocalyptic number.

It is an amenable number.

360414020 is an abundant number, since it is smaller than the sum of its proper divisors (396455464).

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

360414020 is a wasteful number, since it uses less digits than its factorization.

360414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18020710 (or 18020708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 360414020 is about 18984.5732108994. The cubic root of 360414020 is about 711.6512647485.

Adding to 360414020 its reverse (20414063), we get a palindrome (380828083).

The spelling of 360414020 in words is "three hundred sixty million, four hundred fourteen thousand, twenty".