413773120 has 112 divisors (see below), whose sum is σ = 1037587968. Its totient is φ = 156948480.

The previous prime is 413773111. The next prime is 413773121. The reversal of 413773120 is 21377314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413773121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525367 + ... + 526153.

Almost surely, 2^413773120 is an apocalyptic number.

413773120 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 413773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518793984).

413773120 is an abundant number, since it is smaller than the sum of its proper divisors (623814848).

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

413773120 is a wasteful number, since it uses less digits than its factorization.

413773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 413773120 is about 20341.4139134919. The cubic root of 413773120 is about 745.1678194977.

The spelling of 413773120 in words is "four hundred thirteen million, seven hundred seventy-three thousand, one hundred twenty".