412735680 has 336 divisors, whose sum is σ = 1654698240. Its totient is φ = 92473344.

The previous prime is 412735663. The next prime is 412735693. The reversal of 412735680 is 86537214.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189267 + ... + 1189613.

Almost surely, 2^412735680 is an apocalyptic number.

412735680 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 412735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827349120).

412735680 is an abundant number, since it is smaller than the sum of its proper divisors (1241962560).

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

412735680 is a wasteful number, since it uses less digits than its factorization.

412735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 412735680 is about 20315.8972236030. The cubic root of 412735680 is about 744.5445198664.

The spelling of 412735680 in words is "four hundred twelve million, seven hundred thirty-five thousand, six hundred eighty".