415434240 has 480 divisors, whose sum is σ = 1653331680. Its totient is φ = 95551488.

The previous prime is 415434209. The next prime is 415434247. The reversal of 415434240 is 42434514.

It is a happy number.

415434240 is a `hidden beast` number, since 41 + 543 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415434247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690844 + ... + 5690916.

It is an arithmetic number, because the mean of its divisors is an integer number (3444441).

Almost surely, 2^415434240 is an apocalyptic number.

415434240 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 415434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826665840).

415434240 is an abundant number, since it is smaller than the sum of its proper divisors (1237897440).

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

415434240 is a wasteful number, since it uses less digits than its factorization.

415434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 415434240 is about 20382.2040025116. The cubic root of 415434240 is about 746.1636634880.

Adding to 415434240 its reverse (42434514), we get a palindrome (457868754).

The spelling of 415434240 in words is "four hundred fifteen million, four hundred thirty-four thousand, two hundred forty".