1146480 has 80 divisors (see below), whose sum is σ = 3776544. Its totient is φ = 286720.

The previous prime is 1146461. The next prime is 1146487. The reversal of 1146480 is 846411.

It is a tau number, because it is divible by the number of its divisors (80).

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 1146480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3940 + ... + 4220.

2^1146480 is an apocalyptic number.

1146480 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 1146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888272).

1146480 is an abundant number, since it is smaller than the sum of its proper divisors (2630064).

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

1146480 is a wasteful number, since it uses less digits than its factorization.

1146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

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

The square root of 1146480 is about 1070.7380632069. The cubic root of 1146480 is about 104.6619513655.

It can be divided in two parts, 114 and 6480, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 1146480 in words is "one million, one hundred forty-six thousand, four hundred eighty".