413949120 has 224 divisors, whose sum is σ = 1451701440. Its totient is φ = 99287040.

The previous prime is 413949091. The next prime is 413949131. The reversal of 413949120 is 21949314.

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, 511276 + ... + 512084.

It is an arithmetic number, because the mean of its divisors is an integer number (6480810).

Almost surely, 2^413949120 is an apocalyptic number.

413949120 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 413949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725850720).

413949120 is an abundant number, since it is smaller than the sum of its proper divisors (1037752320).

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

413949120 is a wasteful number, since it uses less digits than its factorization.

413949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 413949120 is about 20345.7396031700. The cubic root of 413949120 is about 745.2734578611.

The spelling of 413949120 in words is "four hundred thirteen million, nine hundred forty-nine thousand, one hundred twenty".