418229040 has 80 divisors (see below), whose sum is σ = 1299916800. Its totient is φ = 111234816.

The previous prime is 418229023. The next prime is 418229041. The reversal of 418229040 is 40922814.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 418228989 and 418229007.

It is not an unprimeable number, because it can be changed into a prime (418229041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98481 + ... + 102639.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^418229040 is an apocalyptic number.

418229040 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 418229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

418229040 is an abundant number, since it is smaller than the sum of its proper divisors (881687760).

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

418229040 is a wasteful number, since it uses less digits than its factorization.

418229040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 418229040 is about 20450.6488894607. The cubic root of 418229040 is about 747.8331769772.

The spelling of 418229040 in words is "four hundred eighteen million, two hundred twenty-nine thousand, forty".