1488601152 has 280 divisors, whose sum is σ = 4661733120. Its totient is φ = 469048320.

The previous prime is 1488601139. The next prime is 1488601157. The reversal of 1488601152 is 2511068841.

1488601152 is a `hidden beast` number, since 1 + 48 + 8 + 601 + 1 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488601157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9481458 + ... + 9481614.

Almost surely, 2^1488601152 is an apocalyptic number.

1488601152 is a gapful number since it is divisible by the number (12) 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 1488601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330866560).

1488601152 is an abundant number, since it is smaller than the sum of its proper divisors (3173131968).

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

1488601152 is a wasteful number, since it uses less digits than its factorization.

1488601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1488601152 is about 38582.3943269466. The cubic root of 1488601152 is about 1141.8072166482.

Adding to 1488601152 its reverse (2511068841), we get a palindrome (3999669993).

The spelling of 1488601152 in words is "one billion, four hundred eighty-eight million, six hundred one thousand, one hundred fifty-two".