411629904 has 160 divisors (see below), whose sum is σ = 1394196480. Its totient is φ = 113788800.

The previous prime is 411629899. The next prime is 411629909. The reversal of 411629904 is 409926114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411629899) and next prime (411629909).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411629909) 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, 91549 + ... + 95939.

It is an arithmetic number, because the mean of its divisors is an integer number (8713728).

Almost surely, 2^411629904 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 411629904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697098240).

411629904 is an abundant number, since it is smaller than the sum of its proper divisors (982566576).

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

411629904 is a wasteful number, since it uses less digits than its factorization.

411629904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 411629904 is about 20288.6644212969. The cubic root of 411629904 is about 743.8790125845.

The spelling of 411629904 in words is "four hundred eleven million, six hundred twenty-nine thousand, nine hundred four".