1530480 has 80 divisors (see below), whose sum is σ = 5428224. Its totient is φ = 349440.

The previous prime is 1530457. The next prime is 1530511. The reversal of 1530480 is 840351.

1530480 = 203² + 204² + ... + 234².

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 (21).

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 15 ways as a sum of consecutive naturals, for example, 1225 + ... + 2135.

2^1530480 is an apocalyptic number.

1530480 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 1530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714112).

1530480 is an abundant number, since it is smaller than the sum of its proper divisors (3897744).

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

1530480 is a wasteful number, since it uses less digits than its factorization.

1530480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1530480 is about 1237.1257009698. The cubic root of 1530480 is about 115.2415841387.

The spelling of 1530480 in words is "one million, five hundred thirty thousand, four hundred eighty".