1419264 has 144 divisors (see below), whose sum is σ = 5110560. Its totient is φ = 368640.

The previous prime is 1419263. The next prime is 1419269. The reversal of 1419264 is 4629141.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1419263) 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, 129019 + ... + 129029.

It is an arithmetic number, because the mean of its divisors is an integer number (35490).

2^1419264 is an apocalyptic number.

1419264 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 1419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555280).

1419264 is an abundant number, since it is smaller than the sum of its proper divisors (3691296).

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

1419264 is a wasteful number, since it uses less digits than its factorization.

1419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1419264 is about 1191.3286700151. The cubic root of 1419264 is about 112.3796639205.

The spelling of 1419264 in words is "one million, four hundred nineteen thousand, two hundred sixty-four".