1488935952 has 240 divisors, whose sum is σ = 5134195200. Its totient is φ = 411505920.

The previous prime is 1488935947. The next prime is 1488935963. The reversal of 1488935952 is 2595398841.

1488935952 is a `hidden beast` number, since 1 + 48 + 8 + 9 + 3 + 595 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 655074 + ... + 657342.

It is an arithmetic number, because the mean of its divisors is an integer number (21392480).

Almost surely, 2^1488935952 is an apocalyptic number.

1488935952 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 1488935952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567097600).

1488935952 is an abundant number, since it is smaller than the sum of its proper divisors (3645259248).

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

1488935952 is a wasteful number, since it uses less digits than its factorization.

1488935952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2312 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 1488935952 is about 38586.7328495171. The cubic root of 1488935952 is about 1141.8928111900.

The spelling of 1488935952 in words is "one billion, four hundred eighty-eight million, nine hundred thirty-five thousand, nine hundred fifty-two".