1468681400 has 48 divisors (see below), whose sum is σ = 3448540440. Its totient is φ = 581648000.

The previous prime is 1468681393. The next prime is 1468681457. The reversal of 1468681400 is 41868641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16154 + ... + 56553.

Almost surely, 2^1468681400 is an apocalyptic number.

1468681400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468681400 is an abundant number, since it is smaller than the sum of its proper divisors (1979859040).

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

1468681400 is a wasteful number, since it uses less digits than its factorization.

1468681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72824 (or 72815 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 1468681400 is about 38323.3792873228. The cubic root of 1468681400 is about 1136.6912884801.

The spelling of 1468681400 in words is "one billion, four hundred sixty-eight million, six hundred eighty-one thousand, four hundred".