1488763200 has 168 divisors, whose sum is σ = 4998667168. Its totient is φ = 387717120.

The previous prime is 1488763181. The next prime is 1488763201. The reversal of 1488763200 is 23678841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488763201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202794 + ... + 210006.

Almost surely, 2^1488763200 is an apocalyptic number.

1488763200 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 1488763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499333584).

1488763200 is an abundant number, since it is smaller than the sum of its proper divisors (3509903968).

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

1488763200 is a wasteful number, since it uses less digits than its factorization.

1488763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1488763200 is about 38584.4942949885. The cubic root of 1488763200 is about 1141.8486472360.

It can be divided in two parts, 148876 and 3200, that added together give a triangular number (152076 = T₅₅₁).

The spelling of 1488763200 in words is "one billion, four hundred eighty-eight million, seven hundred sixty-three thousand, two hundred".