1488420864 has 288 divisors, whose sum is σ = 5050389240. Its totient is φ = 421134336.

The previous prime is 1488420799. The next prime is 1488420881. The reversal of 1488420864 is 4680248841.

1488420864 is a `hidden beast` number, since 148 + 8 + 420 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14450637 + ... + 14450739.

Almost surely, 2^1488420864 is an apocalyptic number.

1488420864 is a gapful number since it is divisible by the number (14) 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 1488420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525194620).

1488420864 is an abundant number, since it is smaller than the sum of its proper divisors (3561968376).

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

1488420864 is an equidigital number, since it uses as much as digits as its factorization.

1488420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 1488420864 is about 38580.0578537669. The cubic root of 1488420864 is about 1141.7611191313.

The spelling of 1488420864 in words is "one billion, four hundred eighty-eight million, four hundred twenty thousand, eight hundred sixty-four".