1456416 has 72 divisors (see below), whose sum is σ = 4471740. Its totient is φ = 446976.

The previous prime is 1456393. The next prime is 1456417. The reversal of 1456416 is 6146541.

1456416 is a `hidden beast` number, since 14 + 5 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 156816 = 1140^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1456416² = 4242295130112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1456416.

It is not an unprimeable number, because it can be changed into a prime (1456417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3550 + ... + 3938.

2^1456416 is an apocalyptic number.

1456416 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 1456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235870).

1456416 is an abundant number, since it is smaller than the sum of its proper divisors (3015324).

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

1456416 is a wasteful number, since it uses less digits than its factorization.

1456416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1456416 is about 1206.8206163304. The cubic root of 1456416 is about 113.3518155171.

It can be divided in two parts, 145 and 6416, that added together give a 8-th power (6561 = 3⁸).

The spelling of 1456416 in words is "one million, four hundred fifty-six thousand, four hundred sixteen".