1468460400 has 240 divisors, whose sum is σ = 5230915200. Its totient is φ = 349107200.

The previous prime is 1468460333. The next prime is 1468460417. The reversal of 1468460400 is 40648641.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698551 + ... + 700649.

It is an arithmetic number, because the mean of its divisors is an integer number (21795480).

Almost surely, 2^1468460400 is an apocalyptic number.

1468460400 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 1468460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

1468460400 is an abundant number, since it is smaller than the sum of its proper divisors (3762454800).

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

1468460400 is a wasteful number, since it uses less digits than its factorization.

1468460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1468460400 is about 38320.4958214269. The cubic root of 1468460400 is about 1136.6342710367.

The spelling of 1468460400 in words is "one billion, four hundred sixty-eight million, four hundred sixty thousand, four hundred".