413902944 has 288 divisors, whose sum is σ = 1535526720. Its totient is φ = 102629376.

The previous prime is 413902943. The next prime is 413902969. The reversal of 413902944 is 449209314.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413902899 and 413902908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413902943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445072 + ... + 446000.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2^413902944 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 413902944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).

413902944 is an abundant number, since it is smaller than the sum of its proper divisors (1121623776).

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

413902944 is a wasteful number, since it uses less digits than its factorization.

413902944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 413902944 is about 20344.6047884937. The cubic root of 413902944 is about 745.2457450938.

The spelling of 413902944 in words is "four hundred thirteen million, nine hundred two thousand, nine hundred forty-four".