1468800 has 192 divisors, whose sum is σ = 5691600. Its totient is φ = 368640.

The previous prime is 1468799. The next prime is 1468801. The reversal of 1468800 is 88641.

It is an interprime number because it is at equal distance from previous prime (1468799) and next prime (1468801).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86392 + ... + 86408.

2^1468800 is an apocalyptic number.

1468800 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 1468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800).

1468800 is an abundant number, since it is smaller than the sum of its proper divisors (4222800).

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

1468800 is a wasteful number, since it uses less digits than its factorization.

1468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1468800 is about 1211.9405926034. The cubic root of 1468800 is about 113.6721884623.

The spelling of 1468800 in words is "one million, four hundred sixty-eight thousand, eight hundred".