412305240 has 128 divisors (see below), whose sum is σ = 1262511360. Its totient is φ = 107702784.

The previous prime is 412305221. The next prime is 412305251. The reversal of 412305240 is 42503214.

It is a super-2 number, since 2×412305240² = 339991221862915200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092822 + ... + 2093018.

It is an arithmetic number, because the mean of its divisors is an integer number (9863370).

Almost surely, 2^412305240 is an apocalyptic number.

412305240 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 412305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631255680).

412305240 is an abundant number, since it is smaller than the sum of its proper divisors (850206120).

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

412305240 is a wasteful number, since it uses less digits than its factorization.

412305240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 412305240 is about 20305.3007857554. The cubic root of 412305240 is about 744.2856025715.

Adding to 412305240 its reverse (42503214), we get a palindrome (454808454).

The spelling of 412305240 in words is "four hundred twelve million, three hundred five thousand, two hundred forty".