415400440 has 256 divisors, whose sum is σ = 1251936000. Its totient is φ = 122830848.

The previous prime is 415400431. The next prime is 415400449. The reversal of 415400440 is 44004514.

It is an interprime number because it is at equal distance from previous prime (415400431) and next prime (415400449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415400449) 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, 3032052 + ... + 3032188.

It is an arithmetic number, because the mean of its divisors is an integer number (4890375).

Almost surely, 2^415400440 is an apocalyptic number.

415400440 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 415400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625968000).

415400440 is an abundant number, since it is smaller than the sum of its proper divisors (836535560).

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

415400440 is a wasteful number, since it uses less digits than its factorization.

415400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 415400440 is about 20381.3748309578. The cubic root of 415400440 is about 746.1434268189.

Adding to 415400440 its reverse (44004514), we get a palindrome (459404954).

The spelling of 415400440 in words is "four hundred fifteen million, four hundred thousand, four hundred forty".