412865640 has 256 divisors, whose sum is σ = 1567641600. Its totient is φ = 95673600.

The previous prime is 412865627. The next prime is 412865641. The reversal of 412865640 is 46568214.

412865640 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 6 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 412865595 and 412865604.

It is not an unprimeable number, because it can be changed into a prime (412865641) 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, 272485 + ... + 273995.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^412865640 is an apocalyptic number.

412865640 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 412865640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

412865640 is an abundant number, since it is smaller than the sum of its proper divisors (1154775960).

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

412865640 is a wasteful number, since it uses less digits than its factorization.

412865640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 412865640 is about 20319.0954523079. The cubic root of 412865640 is about 744.6226577291.

The spelling of 412865640 in words is "four hundred twelve million, eight hundred sixty-five thousand, six hundred forty".