2416464 has 60 divisors (see below), whose sum is σ = 6871956. Its totient is φ = 792576.

The previous prime is 2416459. The next prime is 2416487. The reversal of 2416464 is 4646142.

2416464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 705600 = 1308^2 + 840^2 .

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13882 + ... + 14054.

2^2416464 is an apocalyptic number.

2416464 is a gapful number since it is divisible by the number (24) 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 2416464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435978).

2416464 is an abundant number, since it is smaller than the sum of its proper divisors (4455492).

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

2416464 is a wasteful number, since it uses less digits than its factorization.

2416464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2416464 is about 1554.4979897060. The cubic root of 2416464 is about 134.1920466027.

The spelling of 2416464 in words is "two million, four hundred sixteen thousand, four hundred sixty-four".