416484864 has 240 divisors, whose sum is σ = 1302238080. Its totient is φ = 127733760.

The previous prime is 416484833. The next prime is 416484869. The reversal of 416484864 is 468484614.

416484864 is a `hidden beast` number, since 4 + 164 + 8 + 486 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416484869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5865949 + ... + 5866019.

It is an arithmetic number, because the mean of its divisors is an integer number (5425992).

Almost surely, 2^416484864 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 416484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651119040).

416484864 is an abundant number, since it is smaller than the sum of its proper divisors (885753216).

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

416484864 is a wasteful number, since it uses less digits than its factorization.

416484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 416484864 is about 20407.9607996487. The cubic root of 416484864 is about 746.7921444451.

The spelling of 416484864 in words is "four hundred sixteen million, four hundred eighty-four thousand, eight hundred sixty-four".