1468646400 has 264 divisors, whose sum is σ = 5230887424. Its totient is φ = 361267200.

The previous prime is 1468646357. The next prime is 1468646429. The reversal of 1468646400 is 46468641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997665 + ... + 999135.

Almost surely, 2^1468646400 is an apocalyptic number.

1468646400 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 1468646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615443712).

1468646400 is an abundant number, since it is smaller than the sum of its proper divisors (3762241024).

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

1468646400 is a wasteful number, since it uses less digits than its factorization.

1468646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 1468646400 is about 38322.9226442869. The cubic root of 1468646400 is about 1136.6822589495.

The spelling of 1468646400 in words is "one billion, four hundred sixty-eight million, six hundred forty-six thousand, four hundred".