1466728920 has 48 divisors (see below), whose sum is σ = 4766870160. Its totient is φ = 391127616.

The previous prime is 1466728909. The next prime is 1466728927. The reversal of 1466728920 is 298276641.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (1466728927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2036764 + ... + 2037483.

It is an arithmetic number, because the mean of its divisors is an integer number (99309795).

Almost surely, 2^1466728920 is an apocalyptic number.

1466728920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1466728920 is an abundant number, since it is smaller than the sum of its proper divisors (3300141240).

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

1466728920 is a wasteful number, since it uses less digits than its factorization.

1466728920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074264 (or 4074257 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1466728920 is about 38297.8970702048. The cubic root of 1466728920 is about 1136.1873554472.

The spelling of 1466728920 in words is "one billion, four hundred sixty-six million, seven hundred twenty-eight thousand, nine hundred twenty".