412069680 has 480 divisors, whose sum is σ = 1637895168. Its totient is φ = 95385600.

The previous prime is 412069673. The next prime is 412069687. The reversal of 412069680 is 86960214.

It is an interprime number because it is at equal distance from previous prime (412069673) and next prime (412069687).

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

It is not an unprimeable number, because it can be changed into a prime (412069687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8767417 + ... + 8767463.

Almost surely, 2^412069680 is an apocalyptic number.

412069680 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 412069680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

412069680 is an abundant number, since it is smaller than the sum of its proper divisors (1225825488).

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

412069680 is a wasteful number, since it uses less digits than its factorization.

412069680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 412069680 is about 20299.4995012192. The cubic root of 412069680 is about 744.1438327539.

The spelling of 412069680 in words is "four hundred twelve million, sixty-nine thousand, six hundred eighty".