1484928 has 48 divisors (see below), whose sum is σ = 4276350. Its totient is φ = 494592.

The previous prime is 1484927. The next prime is 1484929. The reversal of 1484928 is 8294841.

It is an interprime number because it is at equal distance from previous prime (1484927) and next prime (1484929).

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 419904 = 1032^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1484928² = 4410022330368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1484892 and 1484901.

It is not an unprimeable number, because it can be changed into a prime (1484927) 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 5 ways as a sum of consecutive naturals, for example, 508 + ... + 1796.

2^1484928 is an apocalyptic number.

1484928 is a gapful number since it is divisible by the number (18) 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 1484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138175).

1484928 is an abundant number, since it is smaller than the sum of its proper divisors (2791422).

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

1484928 is a wasteful number, since it uses less digits than its factorization.

1484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1294 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1484928 is about 1218.5762183795. The cubic root of 1484928 is about 114.0867299373.

The spelling of 1484928 in words is "one million, four hundred eighty-four thousand, nine hundred twenty-eight".