1468147200 has 480 divisors, whose sum is σ = 5562206496. Its totient is φ = 338165760.

The previous prime is 1468147193. The next prime is 1468147249. The reversal of 1468147200 is 27418641.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 8486314 + ... + 8486486.

Almost surely, 2^1468147200 is an apocalyptic number.

1468147200 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 1468147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781103248).

1468147200 is an abundant number, since it is smaller than the sum of its proper divisors (4094059296).

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

1468147200 is a wasteful number, since it uses less digits than its factorization.

1468147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1468147200 is about 38316.4090175476. The cubic root of 1468147200 is about 1136.5534564261.

The spelling of 1468147200 in words is "one billion, four hundred sixty-eight million, one hundred forty-seven thousand, two hundred".