415143040 has 128 divisors (see below), whose sum is σ = 1095761520. Its totient is φ = 149422080.

The previous prime is 415143023. The next prime is 415143049. The reversal of 415143040 is 40341514.

It can be written as a sum of positive squares in 8 ways, for example, as 9684544 + 405458496 = 3112^2 + 20136^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (415143049) 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, 340512 + ... + 341728.

Almost surely, 2^415143040 is an apocalyptic number.

415143040 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 415143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547880760).

415143040 is an abundant number, since it is smaller than the sum of its proper divisors (680618480).

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

415143040 is a wasteful number, since it uses less digits than its factorization.

415143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 415143040 is about 20375.0592637175. The cubic root of 415143040 is about 745.9892807771.

Adding to 415143040 its reverse (40341514), we get a palindrome (455484554).

The spelling of 415143040 in words is "four hundred fifteen million, one hundred forty-three thousand, forty".