1468573920 has 576 divisors, whose sum is σ = 5943974400. Its totient is φ = 326430720.

The previous prime is 1468573913. The next prime is 1468573921. The reversal of 1468573920 is 293758641.

1468573920 is a `hidden beast` number, since 14 + 68 + 573 + 9 + 2 + 0 = 666.

1468573920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

1468573920 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468573921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10565211 + ... + 10565349.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

It is a 1-persistent number, because it is pandigital, but 2⋅1468573920 = 2937147840 is not.

Almost surely, 2^1468573920 is an apocalyptic number.

1468573920 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 1468573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971987200).

1468573920 is an abundant number, since it is smaller than the sum of its proper divisors (4475400480).

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

1468573920 is a wasteful number, since it uses less digits than its factorization.

1468573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1468573920 is about 38321.9769844929. The cubic root of 1468573920 is about 1136.6635596253.

The spelling of 1468573920 in words is "one billion, four hundred sixty-eight million, five hundred seventy-three thousand, nine hundred twenty".