411448464 has 160 divisors (see below), whose sum is σ = 1357056000. Its totient is φ = 116919936.

The previous prime is 411448459. The next prime is 411448517. The reversal of 411448464 is 464844114.

411448464 is a `hidden beast` number, since 4 + 114 + 484 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085427 + ... + 1085805.

It is an arithmetic number, because the mean of its divisors is an integer number (8481600).

Almost surely, 2^411448464 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 411448464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678528000).

411448464 is an abundant number, since it is smaller than the sum of its proper divisors (945607536).

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

411448464 is a wasteful number, since it uses less digits than its factorization.

411448464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 411448464 is about 20284.1924660559. The cubic root of 411448464 is about 743.7696997913.

The spelling of 411448464 in words is "four hundred eleven million, four hundred forty-eight thousand, four hundred sixty-four".