1455216 has 80 divisors (see below), whose sum is σ = 4428288. Its totient is φ = 403200.

The previous prime is 1455211. The next prime is 1455227. The reversal of 1455216 is 6125541.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1200) is a multiple of the sum of its prime factors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20461 + ... + 20531.

2^1455216 is an apocalyptic number.

1455216 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 1455216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214144).

1455216 is an abundant number, since it is smaller than the sum of its proper divisors (2973072).

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

1455216 is a wasteful number, since it uses less digits than its factorization.

1455216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 1455216 is about 1206.3233397394. The cubic root of 1455216 is about 113.3206752491.

The spelling of 1455216 in words is "one million, four hundred fifty-five thousand, two hundred sixteen".