414666720 has 288 divisors, whose sum is σ = 1614779712. Its totient is φ = 95993856.

The previous prime is 414666683. The next prime is 414666727. The reversal of 414666720 is 27666414.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414666727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317589 + ... + 318891.

It is an arithmetic number, because the mean of its divisors is an integer number (5606874).

Almost surely, 2^414666720 is an apocalyptic number.

414666720 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 414666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807389856).

414666720 is an abundant number, since it is smaller than the sum of its proper divisors (1200112992).

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

414666720 is a wasteful number, since it uses less digits than its factorization.

414666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 414666720 is about 20363.3671086095. The cubic root of 414666720 is about 745.7038646160.

The spelling of 414666720 in words is "four hundred fourteen million, six hundred sixty-six thousand, seven hundred twenty".