414216720 has 160 divisors (see below), whose sum is σ = 1501987200. Its totient is φ = 104633856.

The previous prime is 414216653. The next prime is 414216763. The reversal of 414216720 is 27612414.

It is a super-2 number, since 2×414216720² = 343150982255116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 35994 + ... + 46086.

It is an arithmetic number, because the mean of its divisors is an integer number (9387420).

Almost surely, 2^414216720 is an apocalyptic number.

414216720 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 414216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750993600).

414216720 is an abundant number, since it is smaller than the sum of its proper divisors (1087770480).

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

414216720 is a wasteful number, since it uses less digits than its factorization.

414216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 414216720 is about 20352.3148560551. The cubic root of 414216720 is about 745.4340188316.

The spelling of 414216720 in words is "four hundred fourteen million, two hundred sixteen thousand, seven hundred twenty".