1488041280 has 560 divisors, whose sum is σ = 6134014656. Its totient is φ = 338411520.

The previous prime is 1488041251. The next prime is 1488041293. The reversal of 1488041280 is 821408841.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4846887 + ... + 4847193.

Almost surely, 2^1488041280 is an apocalyptic number.

1488041280 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 1488041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067007328).

1488041280 is an abundant number, since it is smaller than the sum of its proper divisors (4645973376).

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

1488041280 is a wasteful number, since it uses less digits than its factorization.

1488041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1488041280 is about 38575.1381073354. The cubic root of 1488041280 is about 1141.6640518052.

The spelling of 1488041280 in words is "one billion, four hundred eighty-eight million, forty-one thousand, two hundred eighty".