418241628 has 72 divisors (see below), whose sum is σ = 1211359968. Its totient is φ = 119190528.

The previous prime is 418241627. The next prime is 418241639. The reversal of 418241628 is 826142814.

418241628 is a `hidden beast` number, since 4 + 1 + 8 + 24 + 1 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 418241592 and 418241601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418241627) 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 23 ways as a sum of consecutive naturals, for example, 107200 + ... + 111032.

It is an arithmetic number, because the mean of its divisors is an integer number (16824444).

Almost surely, 2^418241628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418241628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605679984).

418241628 is an abundant number, since it is smaller than the sum of its proper divisors (793118340).

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

418241628 is a wasteful number, since it uses less digits than its factorization.

418241628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4278 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 418241628 is about 20450.9566524405. The cubic root of 418241628 is about 747.8406797477.

The spelling of 418241628 in words is "four hundred eighteen million, two hundred forty-one thousand, six hundred twenty-eight".