1468416 has 48 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 487424.

The previous prime is 1468403. The next prime is 1468427. The reversal of 1468416 is 6148641.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6025 + ... + 6263.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^1468416 is an apocalyptic number.

1468416 is a gapful number since it is divisible by the number (16) 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 1468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1468416 is an abundant number, since it is smaller than the sum of its proper divisors (2462784).

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

1468416 is an equidigital number, since it uses as much as digits as its factorization.

1468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1468416 is about 1211.7821586407. The cubic root of 1468416 is about 113.6622815258.

The spelling of 1468416 in words is "one million, four hundred sixty-eight thousand, four hundred sixteen".