415004040 has 256 divisors, whose sum is σ = 1525305600. Its totient is φ = 99532800.

The previous prime is 415004033. The next prime is 415004047. The reversal of 415004040 is 40400514.

It is an interprime number because it is at equal distance from previous prime (415004033) and next prime (415004047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (415004047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2150184 + ... + 2150376.

It is an arithmetic number, because the mean of its divisors is an integer number (5958225).

Almost surely, 2^415004040 is an apocalyptic number.

415004040 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 415004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762652800).

415004040 is an abundant number, since it is smaller than the sum of its proper divisors (1110301560).

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

415004040 is a wasteful number, since it uses less digits than its factorization.

415004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 415004040 is about 20371.6479451222. The cubic root of 415004040 is about 745.9060130235.

Adding to 415004040 its reverse (40400514), we get a palindrome (455404554).

The spelling of 415004040 in words is "four hundred fifteen million, four thousand, forty".