418058240 has 104 divisors (see below), whose sum is σ = 1017322200. Its totient is φ = 164888576.

The previous prime is 418058233. The next prime is 418058243. The reversal of 418058240 is 42850814.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9048064 + 409010176 = 3008^2 + 20224^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 418058197 and 418058206.

It is not an unprimeable number, because it can be changed into a prime (418058243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2805686 + ... + 2805834.

Almost surely, 2^418058240 is an apocalyptic number.

418058240 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 418058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508661100).

418058240 is an abundant number, since it is smaller than the sum of its proper divisors (599263960).

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

418058240 is a wasteful number, since it uses less digits than its factorization.

418058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 418058240 is about 20446.4725564093. The cubic root of 418058240 is about 747.7313609177.

The spelling of 418058240 in words is "four hundred eighteen million, fifty-eight thousand, two hundred forty".