1288464408 has 640 divisors, whose sum is σ = 5018112000. Its totient is φ = 304819200.

The previous prime is 1288464371. The next prime is 1288464409. The reversal of 1288464408 is 8044648821.

1288464408 is a `hidden beast` number, since 128 + 84 + 6 + 440 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288464409) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41563353 + ... + 41563383.

It is an arithmetic number, because the mean of its divisors is an integer number (7840800).

Almost surely, 2^1288464408 is an apocalyptic number.

1288464408 is a gapful number since it is divisible by the number (18) 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 1288464408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509056000).

1288464408 is an abundant number, since it is smaller than the sum of its proper divisors (3729647592).

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

1288464408 is a wasteful number, since it uses less digits than its factorization.

1288464408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

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

The square root of 1288464408 is about 35895.1864182372. The cubic root of 1288464408 is about 1088.1551172832.

The spelling of 1288464408 in words is "one billion, two hundred eighty-eight million, four hundred sixty-four thousand, four hundred eight".