1478880 has 144 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 359424.

The previous prime is 1478863. The next prime is 1478887. The reversal of 1478880 is 888741.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1478887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18681 + ... + 18759.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2^1478880 is an apocalyptic number.

1478880 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 1478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

1478880 is an abundant number, since it is smaller than the sum of its proper divisors (4024800).

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

1478880 is a wasteful number, since it uses less digits than its factorization.

1478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1478880 is about 1216.0921017752. The cubic root of 1478880 is about 113.9316302880.

The spelling of 1478880 in words is "one million, four hundred seventy-eight thousand, eight hundred eighty".