418130000 has 50 divisors (see below), whose sum is σ = 1012358754. Its totient is φ = 167248000.

The previous prime is 418129997. The next prime is 418130029. The reversal of 418130000 is 31814.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 256128016 + 162001984 = 16004^2 + 12728^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10907 + ... + 30906.

Almost surely, 2^418130000 is an apocalyptic number.

418130000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418130000 is an abundant number, since it is smaller than the sum of its proper divisors (594228754).

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

418130000 is an equidigital number, since it uses as much as digits as its factorization.

418130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41841 (or 41820 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 418130000 is about 20448.2273070308. The cubic root of 418130000 is about 747.7741413468.

Adding to 418130000 its reverse (31814), we get a palindrome (418161814).

The spelling of 418130000 in words is "four hundred eighteen million, one hundred thirty thousand".