1416480 has 96 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 347136.

The previous prime is 1416479. The next prime is 1416487. The reversal of 1416480 is 846141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1416480.

It is not an unprimeable number, because it can be changed into a prime (1416487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6127 + ... + 6353.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2^1416480 is an apocalyptic number.

1416480 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 1416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

1416480 is an abundant number, since it is smaller than the sum of its proper divisors (3409824).

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

1416480 is a wasteful number, since it uses less digits than its factorization.

1416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1416480 is about 1190.1596531558. The cubic root of 1416480 is about 112.3061352518.

The spelling of 1416480 in words is "one million, four hundred sixteen thousand, four hundred eighty".