416004864 has 144 divisors (see below), whose sum is σ = 1260935424. Its totient is φ = 120524800.

The previous prime is 416004863. The next prime is 416004877. The reversal of 416004864 is 468400614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (416004863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193234 + ... + 195374.

It is an arithmetic number, because the mean of its divisors is an integer number (8756496).

Almost surely, 2^416004864 is an apocalyptic number.

416004864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630467712).

416004864 is an abundant number, since it is smaller than the sum of its proper divisors (844930560).

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

416004864 is a wasteful number, since it uses less digits than its factorization.

416004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 416004864 is about 20396.1972926328. The cubic root of 416004864 is about 746.5051407967.

It can be divided in two parts, 41600 and 4864, that added together give a palindrome (46464).

The spelling of 416004864 in words is "four hundred sixteen million, four thousand, eight hundred sixty-four".