1468540800 has 384 divisors, whose sum is σ = 5615712000. Its totient is φ = 374077440.

The previous prime is 1468540793. The next prime is 1468540811. The reversal of 1468540800 is 80458641.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1468540800³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986831 + ... + 1987569.

It is an arithmetic number, because the mean of its divisors is an integer number (14624250).

Almost surely, 2^1468540800 is an apocalyptic number.

1468540800 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 1468540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807856000).

1468540800 is an abundant number, since it is smaller than the sum of its proper divisors (4147171200).

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

1468540800 is a wasteful number, since it uses less digits than its factorization.

1468540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1468540800 is about 38321.5448540374. The cubic root of 1468540800 is about 1136.6550146962.

The spelling of 1468540800 in words is "one billion, four hundred sixty-eight million, five hundred forty thousand, eight hundred".