412275840 has 192 divisors, whose sum is σ = 1397856960. Its totient is φ = 103333888.

The previous prime is 412275833. The next prime is 412275847. The reversal of 412275840 is 48572214.

It is an interprime number because it is at equal distance from previous prime (412275833) and next prime (412275847).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (412275847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554509 + ... + 555251.

It is an arithmetic number, because the mean of its divisors is an integer number (7280505).

Almost surely, 2^412275840 is an apocalyptic number.

412275840 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 412275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698928480).

412275840 is an abundant number, since it is smaller than the sum of its proper divisors (985581120).

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

412275840 is a wasteful number, since it uses less digits than its factorization.

412275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 412275840 is about 20304.5768239577. The cubic root of 412275840 is about 744.2679113768.

The spelling of 412275840 in words is "four hundred twelve million, two hundred seventy-five thousand, eight hundred forty".