412867680 has 96 divisors (see below), whose sum is σ = 1305587808. Its totient is φ = 109670400.

The previous prime is 412867643. The next prime is 412867747. The reversal of 412867680 is 86768214.

It is a tau number, because it is divible by the number of its divisors (96).

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, 133350 + ... + 136410.

It is an arithmetic number, because the mean of its divisors is an integer number (13599873).

Almost surely, 2^412867680 is an apocalyptic number.

412867680 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 412867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652793904).

412867680 is an abundant number, since it is smaller than the sum of its proper divisors (892720128).

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

412867680 is a wasteful number, since it uses less digits than its factorization.

412867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 412867680 is about 20319.1456513309. The cubic root of 412867680 is about 744.6238841392.

The spelling of 412867680 in words is "four hundred twelve million, eight hundred sixty-seven thousand, six hundred eighty".