415401440 has 48 divisors (see below), whose sum is σ = 983404800. Its totient is φ = 165818880.

The previous prime is 415401431. The next prime is 415401449. The reversal of 415401440 is 44104514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (415401431) and next prime (415401449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415401449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84161 + ... + 88959.

It is an arithmetic number, because the mean of its divisors is an integer number (20487600).

Almost surely, 2^415401440 is an apocalyptic number.

415401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415401440 is an abundant number, since it is smaller than the sum of its proper divisors (568003360).

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

415401440 is a wasteful number, since it uses less digits than its factorization.

415401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 415401440 is about 20381.3993631448. The cubic root of 415401440 is about 746.1440255526.

Adding to 415401440 its reverse (44104514), we get a palindrome (459505954).

The spelling of 415401440 in words is "four hundred fifteen million, four hundred one thousand, four hundred forty".