414451332 has 72 divisors (see below), whose sum is σ = 1105846560. Its totient is φ = 130515840.

The previous prime is 414451321. The next prime is 414451357. The reversal of 414451332 is 233154414.

It is a happy number.

414451332 is a `hidden beast` number, since 4 + 144 + 513 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414451296 and 414451305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355783 + ... + 356945.

It is an arithmetic number, because the mean of its divisors is an integer number (15358980).

Almost surely, 2^414451332 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 414451332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552923280).

414451332 is an abundant number, since it is smaller than the sum of its proper divisors (691395228).

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

414451332 is a wasteful number, since it uses less digits than its factorization.

414451332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1708 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 414451332 is about 20358.0778071015. The cubic root of 414451332 is about 745.5747300014.

The spelling of 414451332 in words is "four hundred fourteen million, four hundred fifty-one thousand, three hundred thirty-two".