1458480 has 80 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 378624.

The previous prime is 1458473. The next prime is 1458487. The reversal of 1458480 is 848541.

It is an interprime number because it is at equal distance from previous prime (1458473) and next prime (1458487).

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 (30).

It is not an unprimeable number, because it can be changed into a prime (1458487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14109 + ... + 14211.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2^1458480 is an apocalyptic number.

1458480 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 1458480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321280).

1458480 is an abundant number, since it is smaller than the sum of its proper divisors (3184080).

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

1458480 is a wasteful number, since it uses less digits than its factorization.

1458480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1458480 is about 1207.6754530916. The cubic root of 1458480 is about 113.4053367899.

The spelling of 1458480 in words is "one million, four hundred fifty-eight thousand, four hundred eighty".