418152960 has 120 divisors (see below), whose sum is σ = 1448261100. Its totient is φ = 111501312.

The previous prime is 418152953. The next prime is 418152967. The reversal of 418152960 is 69251814.

418152960 is a `hidden beast` number, since 418 + 152 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (418152953) and next prime (418152967).

It can be written as a sum of positive squares in 2 ways, for example, as 404492544 + 13660416 = 20112^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (418152967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13966 + ... + 32114.

Almost surely, 2^418152960 is an apocalyptic number.

418152960 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 418152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724130550).

418152960 is an abundant number, since it is smaller than the sum of its proper divisors (1030108140).

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

418152960 is a wasteful number, since it uses less digits than its factorization.

418152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18178 (or 18159 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 418152960 is about 20448.7887171832. The cubic root of 418152960 is about 747.7878281428.

The spelling of 418152960 in words is "four hundred eighteen million, one hundred fifty-two thousand, nine hundred sixty".