1484312640 has 224 divisors, whose sum is σ = 4894746624. Its totient is φ = 380835840.

The previous prime is 1484312639. The next prime is 1484312651. The reversal of 1484312640 is 462134841.

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 31 ways as a sum of consecutive naturals, for example, 3022795 + ... + 3023285.

Almost surely, 2^1484312640 is an apocalyptic number.

1484312640 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 1484312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447373312).

1484312640 is an abundant number, since it is smaller than the sum of its proper divisors (3410433984).

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

1484312640 is a wasteful number, since it uses less digits than its factorization.

1484312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1484312640 is about 38526.7782198304. The cubic root of 1484312640 is about 1140.7096843012.

The spelling of 1484312640 in words is "one billion, four hundred eighty-four million, three hundred twelve thousand, six hundred forty".