1484880 has 80 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 377344.

The previous prime is 1484849. The next prime is 1484911. The reversal of 1484880 is 884841.

1484880 = 243² + 244² + ... + 265².

It is an interprime number because it is at equal distance from previous prime (1484849) and next prime (1484911).

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

It is a super-2 number, since 2×1484880² = 4409737228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5386 + ... + 5654.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2^1484880 is an apocalyptic number.

1484880 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 1484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

1484880 is an abundant number, since it is smaller than the sum of its proper divisors (3336240).

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

1484880 is a wasteful number, since it uses less digits than its factorization.

1484880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 1484880 is about 1218.5565231043. The cubic root of 1484880 is about 114.0855006472.

The spelling of 1484880 in words is "one million, four hundred eighty-four thousand, eight hundred eighty".