1290456468 has 384 divisors, whose sum is σ = 4335206400. Its totient is φ = 323481600.

The previous prime is 1290456463. The next prime is 1290456491. The reversal of 1290456468 is 8646540921.

1290456468 is a `hidden beast` number, since 1 + 29 + 0 + 4 + 564 + 68 = 666.

1290456468 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290456463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16334853 + ... + 16334931.

It is an arithmetic number, because the mean of its divisors is an integer number (11289600).

Almost surely, 2^1290456468 is an apocalyptic number.

1290456468 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 1290456468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167603200).

1290456468 is an abundant number, since it is smaller than the sum of its proper divisors (3044749932).

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

1290456468 is a wasteful number, since it uses less digits than its factorization.

1290456468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1290456468 is about 35922.9239901208. The cubic root of 1290456468 is about 1088.7156175973.

The spelling of 1290456468 in words is "one billion, two hundred ninety million, four hundred fifty-six thousand, four hundred sixty-eight".