1288176480 has 192 divisors, whose sum is σ = 4654540800. Its totient is φ = 332398080.

The previous prime is 1288176473. The next prime is 1288176493. The reversal of 1288176480 is 846718821.

1288176480 is a `hidden beast` number, since 1 + 28 + 81 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129111 + ... + 138729.

It is an arithmetic number, because the mean of its divisors is an integer number (24242400).

Almost surely, 2^1288176480 is an apocalyptic number.

1288176480 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 1288176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327270400).

1288176480 is an abundant number, since it is smaller than the sum of its proper divisors (3366364320).

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

1288176480 is a wasteful number, since it uses less digits than its factorization.

1288176480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9674 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1288176480 is about 35891.1755171101. The cubic root of 1288176480 is about 1088.0740560174.

The spelling of 1288176480 in words is "one billion, two hundred eighty-eight million, one hundred seventy-six thousand, four hundred eighty".