1488993264 has 240 divisors, whose sum is σ = 4695175680. Its totient is φ = 436700160.

The previous prime is 1488993241. The next prime is 1488993281. The reversal of 1488993264 is 4623998841.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1488993264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9134847 + ... + 9135009.

It is an arithmetic number, because the mean of its divisors is an integer number (19563232).

Almost surely, 2^1488993264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1488993264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347587840).

1488993264 is an abundant number, since it is smaller than the sum of its proper divisors (3206182416).

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

1488993264 is a wasteful number, since it uses less digits than its factorization.

1488993264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1488993264 is about 38587.4754810418. The cubic root of 1488993264 is about 1141.9074622167.

The spelling of 1488993264 in words is "one billion, four hundred eighty-eight million, nine hundred ninety-three thousand, two hundred sixty-four".