1488640416 has 48 divisors (see below), whose sum is σ = 3909866688. Its totient is φ = 495936000.

The previous prime is 1488640397. The next prime is 1488640427. The reversal of 1488640416 is 6140468841.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238941 + ... + 245091.

It is an arithmetic number, because the mean of its divisors is an integer number (81455556).

Almost surely, 2^1488640416 is an apocalyptic number.

1488640416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1488640416 is an abundant number, since it is smaller than the sum of its proper divisors (2421226272).

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

1488640416 is a wasteful number, since it uses less digits than its factorization.

1488640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1488640416 is about 38582.9031567092. The cubic root of 1488640416 is about 1141.8172554967.

The spelling of 1488640416 in words is "one billion, four hundred eighty-eight million, six hundred forty thousand, four hundred sixteen".