413623920 has 160 divisors (see below), whose sum is σ = 1372769280. Its totient is φ = 102712320.

The previous prime is 413623909. The next prime is 413623921. The reversal of 413623920 is 29326314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413623921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277417 + ... + 278903.

It is an arithmetic number, because the mean of its divisors is an integer number (8579808).

Almost surely, 2^413623920 is an apocalyptic number.

413623920 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 413623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686384640).

413623920 is an abundant number, since it is smaller than the sum of its proper divisors (959145360).

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

413623920 is a wasteful number, since it uses less digits than its factorization.

413623920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 413623920 is about 20337.7461878154. The cubic root of 413623920 is about 745.0782435126.

The spelling of 413623920 in words is "four hundred thirteen million, six hundred twenty-three thousand, nine hundred twenty".