1484684640 has 240 divisors, whose sum is σ = 5292801360. Its totient is φ = 391910400.

The previous prime is 1484684639. The next prime is 1484684651. The reversal of 1484684640 is 464864841.

1484684640 is a `hidden beast` number, since 148 + 46 + 8 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1412115 + ... + 1413165.

It is an arithmetic number, because the mean of its divisors is an integer number (22053339).

Almost surely, 2^1484684640 is an apocalyptic number.

1484684640 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 1484684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646400680).

1484684640 is an abundant number, since it is smaller than the sum of its proper divisors (3808116720).

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

1484684640 is a wasteful number, since it uses less digits than its factorization.

1484684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 1484684640 is about 38531.6057282849. The cubic root of 1484684640 is about 1140.8049716295.

The spelling of 1484684640 in words is "one billion, four hundred eighty-four million, six hundred eighty-four thousand, six hundred forty".