414153220 has 48 divisors (see below), whose sum is σ = 939294720. Its totient is φ = 152482176.

The previous prime is 414153193. The next prime is 414153281. The reversal of 414153220 is 22351414.

It is a junction number, because it is equal to n+sod(n) for n = 414153191 and 414153200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97501 + ... + 101659.

It is an arithmetic number, because the mean of its divisors is an integer number (19568640).

Almost surely, 2^414153220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414153220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469647360).

414153220 is an abundant number, since it is smaller than the sum of its proper divisors (525141500).

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

414153220 is a wasteful number, since it uses less digits than its factorization.

414153220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 414153220 is about 20350.7547771575. The cubic root of 414153220 is about 745.3959248605.

The spelling of 414153220 in words is "four hundred fourteen million, one hundred fifty-three thousand, two hundred twenty".