415042964 has 48 divisors (see below), whose sum is σ = 881435520. Its totient is φ = 166932480.

The previous prime is 415042961. The next prime is 415042987. The reversal of 415042964 is 469240514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415042961) 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, 198404 + ... + 200484.

It is an arithmetic number, because the mean of its divisors is an integer number (18363240).

Almost surely, 2^415042964 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 415042964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440717760).

415042964 is an abundant number, since it is smaller than the sum of its proper divisors (466392556).

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

415042964 is a wasteful number, since it uses less digits than its factorization.

415042964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 415042964 is about 20372.6032700782. The cubic root of 415042964 is about 745.9293322647.

The spelling of 415042964 in words is "four hundred fifteen million, forty-two thousand, nine hundred sixty-four".