1478464 has 28 divisors (see below), whose sum is σ = 3161284. Its totient is φ = 681984.

The previous prime is 1478459. The next prime is 1478467. The reversal of 1478464 is 4648741.

It can be written as a sum of positive squares in 2 ways, for example, as 462400 + 1016064 = 680^2 + 1008^2 .

It is a cake number, because a cake can be divided into 1478464 parts by 207 planar cuts.

Its product of digits (21504) is a multiple of the sum of its prime divisors (1792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1478467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57 + ... + 1720.

It is an arithmetic number, because the mean of its divisors is an integer number (112903).

2^1478464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580642).

1478464 is an abundant number, since it is smaller than the sum of its proper divisors (1682820).

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

1478464 is a wasteful number, since it uses less digits than its factorization.

1478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1792 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 1478464 is about 1215.9210500686. The cubic root of 1478464 is about 113.9209465267.

The spelling of 1478464 in words is "one million, four hundred seventy-eight thousand, four hundred sixty-four".