1479456 has 72 divisors (see below), whose sum is σ = 4599504. Its totient is φ = 447360.

The previous prime is 1479451. The next prime is 1479469. The reversal of 1479456 is 6549741.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1479456.

It is not an unprimeable number, because it can be changed into a prime (1479451) 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, 2935 + ... + 3401.

It is an arithmetic number, because the mean of its divisors is an integer number (63882).

2^1479456 is an apocalyptic number.

1479456 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 1479456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299752).

1479456 is an abundant number, since it is smaller than the sum of its proper divisors (3120048).

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

1479456 is a wasteful number, since it uses less digits than its factorization.

1479456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1479456 is about 1216.3289028877. The cubic root of 1479456 is about 113.9464198813.

The spelling of 1479456 in words is "one million, four hundred seventy-nine thousand, four hundred fifty-six".