1447264 has 72 divisors (see below), whose sum is σ = 3619728. Its totient is φ = 564480.

The previous prime is 1447247. The next prime is 1447273. The reversal of 1447264 is 4627441.

1447264 = 22³ + 23³ + ... + 49³.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20349 + ... + 20419.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2^1447264 is an apocalyptic number.

1447264 is a gapful number since it is divisible by the number (14) 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 1447264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809864).

1447264 is an abundant number, since it is smaller than the sum of its proper divisors (2172464).

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

1447264 is a wasteful number, since it uses less digits than its factorization.

1447264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 1447264 is about 1203.0228593007. The cubic root of 1447264 is about 113.1138852362.

It can be divided in two parts, 1447 and 264, that added together give a triangular number (1711 = T₅₈).

The spelling of 1447264 in words is "one million, four hundred forty-seven thousand, two hundred sixty-four".