414768720 has 160 divisors (see below), whose sum is σ = 1370055168. Its totient is φ = 103440384.

The previous prime is 414768719. The next prime is 414768769. The reversal of 414768720 is 27867414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129977 + ... + 1130343.

Almost surely, 2^414768720 is an apocalyptic number.

414768720 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 414768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685027584).

414768720 is an abundant number, since it is smaller than the sum of its proper divisors (955286448).

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

414768720 is a wasteful number, since it uses less digits than its factorization.

414768720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 414768720 is about 20365.8714520150. The cubic root of 414768720 is about 745.7650025169.

The spelling of 414768720 in words is "four hundred fourteen million, seven hundred sixty-eight thousand, seven hundred twenty".