415322240 has 128 divisors (see below), whose sum is σ = 1070755200. Its totient is φ = 153468928.

The previous prime is 415322233. The next prime is 415322263. The reversal of 415322240 is 42223514.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641597 + ... + 642243.

It is an arithmetic number, because the mean of its divisors is an integer number (8365275).

Almost surely, 2^415322240 is an apocalyptic number.

415322240 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 415322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535377600).

415322240 is an abundant number, since it is smaller than the sum of its proper divisors (655432960).

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

415322240 is a wasteful number, since it uses less digits than its factorization.

415322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 415322240 is about 20379.4563224832. The cubic root of 415322240 is about 746.0966028613.

Adding to 415322240 its reverse (42223514), we get a palindrome (457545754).

The spelling of 415322240 in words is "four hundred fifteen million, three hundred twenty-two thousand, two hundred forty".