412680240 has 240 divisors, whose sum is σ = 1627449408. Its totient is φ = 91736064.

The previous prime is 412680239. The next prime is 412680241. The reversal of 412680240 is 42086214.

412680240 is a `hidden beast` number, since 412 + 6 + 8 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (412680239) and next prime (412680241).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (412680241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185374 + ... + 187586.

Almost surely, 2^412680240 is an apocalyptic number.

412680240 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 412680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813724704).

412680240 is an abundant number, since it is smaller than the sum of its proper divisors (1214769168).

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

412680240 is a wasteful number, since it uses less digits than its factorization.

412680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 412680240 is about 20314.5327290588. The cubic root of 412680240 is about 744.5111818259.

The spelling of 412680240 in words is "four hundred twelve million, six hundred eighty thousand, two hundred forty".