1473680 has 60 divisors (see below), whose sum is σ = 3744180. Its totient is φ = 539136.

The previous prime is 1473677. The next prime is 1473737. The reversal of 1473680 is 863741.

It can be written as a sum of positive squares in 6 ways, for example, as 183184 + 1290496 = 428^2 + 1136^2 .

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, 13466 + ... + 13574.

It is an arithmetic number, because the mean of its divisors is an integer number (62403).

2^1473680 is an apocalyptic number.

1473680 is a gapful number since it is divisible by the number (10) 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 1473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872090).

1473680 is an abundant number, since it is smaller than the sum of its proper divisors (2270500).

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

1473680 is a wasteful number, since it uses less digits than its factorization.

1473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1473680 is about 1213.9522231126. The cubic root of 1473680 is about 113.7979389774.

It can be divided in two parts, 14736 and 80, that multiplied together give a triangular number (1178880 = T₁₅₃₅).

The spelling of 1473680 in words is "one million, four hundred seventy-three thousand, six hundred eighty".