1468396800 has 648 divisors, whose sum is σ = 5916043224. Its totient is φ = 345047040.

The previous prime is 1468396799. The next prime is 1468396801. The reversal of 1468396800 is 86938641.

It is an interprime number because it is at equal distance from previous prime (1468396799) and next prime (1468396801).

It can be written as a sum of positive squares in 12 ways, for example, as 210134016 + 1258262784 = 14496^2 + 35472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468396801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27705574 + ... + 27705626.

Almost surely, 2^1468396800 is an apocalyptic number.

1468396800 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 1468396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958021612).

1468396800 is an abundant number, since it is smaller than the sum of its proper divisors (4447646424).

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

1468396800 is a wasteful number, since it uses less digits than its factorization.

1468396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1468396800 is about 38319.6659693166. The cubic root of 1468396800 is about 1136.6178613368.

The spelling of 1468396800 in words is "one billion, four hundred sixty-eight million, three hundred ninety-six thousand, eight hundred".