1456480 has 24 divisors (see below), whose sum is σ = 3441312. Its totient is φ = 582528.

The previous prime is 1456451. The next prime is 1456501. The reversal of 1456480 is 846541.

1456480 = T₁₄ + T₁₅ + ... + T₂₀₅.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4392 + ... + 4711.

It is an arithmetic number, because the mean of its divisors is an integer number (143388).

2^1456480 is an apocalyptic number.

1456480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456480 is an abundant number, since it is smaller than the sum of its proper divisors (1984832).

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

1456480 is an equidigital number, since it uses as much as digits as its factorization.

1456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118 (or 9110 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1456480 is about 1206.8471319931. The cubic root of 1456480 is about 113.3534758509.

It can be divided in two parts, 1456 and 480, that added together give a square (1936 = 44²).

The spelling of 1456480 in words is "one million, four hundred fifty-six thousand, four hundred eighty".