414067680 has 384 divisors, whose sum is σ = 1597760640. Its totient is φ = 99532800.

The previous prime is 414067679. The next prime is 414067699. The reversal of 414067680 is 86760414.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4099630 + ... + 4099730.

It is an arithmetic number, because the mean of its divisors is an integer number (4160835).

Almost surely, 2^414067680 is an apocalyptic number.

414067680 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 414067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798880320).

414067680 is an abundant number, since it is smaller than the sum of its proper divisors (1183692960).

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

414067680 is a wasteful number, since it uses less digits than its factorization.

414067680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 414067680 is about 20348.6530266748. The cubic root of 414067680 is about 745.3446028259.

The spelling of 414067680 in words is "four hundred fourteen million, sixty-seven thousand, six hundred eighty".