1488261600 has 720 divisors, whose sum is σ = 6601639968. Its totient is φ = 318504960.

The previous prime is 1488261581. The next prime is 1488261647. The reversal of 1488261600 is 61628841.

1488261600 is a `hidden beast` number, since 1 + 48 + 8 + 2 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 7711104 + ... + 7711296.

Almost surely, 2^1488261600 is an apocalyptic number.

1488261600 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 1488261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300819984).

1488261600 is an abundant number, since it is smaller than the sum of its proper divisors (5113378368).

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

1488261600 is a wasteful number, since it uses less digits than its factorization.

1488261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1488261600 is about 38577.9937269942. The cubic root of 1488261600 is about 1141.7203941066.

It can be divided in two parts, 148826 and 1600, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 1488261600 in words is "one billion, four hundred eighty-eight million, two hundred sixty-one thousand, six hundred".