1472880 has 120 divisors (see below), whose sum is σ = 5102352. Its totient is φ = 350208.

The previous prime is 1472869. The next prime is 1472893. The reversal of 1472880 is 882741.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77511 + ... + 77529.

2^1472880 is an apocalyptic number.

1472880 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 1472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551176).

1472880 is an abundant number, since it is smaller than the sum of its proper divisors (3629472).

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

1472880 is a wasteful number, since it uses less digits than its factorization.

1472880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1472880 is about 1213.6226761230. The cubic root of 1472880 is about 113.7773431832. Note that the first 3 decimals are identical.

The spelling of 1472880 in words is "one million, four hundred seventy-two thousand, eight hundred eighty".