1456880 has 20 divisors (see below), whose sum is σ = 3387432. Its totient is φ = 582720.

The previous prime is 1456877. The next prime is 1456891. The reversal of 1456880 is 886541.

1456880 = T₁₂₄ + T₁₂₅ + ... + T₂₁₉.

1456880 = 4² + 5² + ... + 163².

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 9026 + ... + 9185.

2^1456880 is an apocalyptic number.

1456880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456880 is an abundant number, since it is smaller than the sum of its proper divisors (1930552).

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

1456880 is a wasteful number, since it uses less digits than its factorization.

1456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18224 (or 18218 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1456880 is about 1207.0128416881. The cubic root of 1456880 is about 113.3638518350.

The spelling of 1456880 in words is "one million, four hundred fifty-six thousand, eight hundred eighty".