1466406500 has 48 divisors (see below), whose sum is σ = 3449003376. Its totient is φ = 541440000.

The previous prime is 1466406499. The next prime is 1466406527. The reversal of 1466406500 is 56046641.

It can be written as a sum of positive squares in 8 ways, for example, as 1218847744 + 247558756 = 34912^2 + 15734^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106301 + ... + 119300.

It is an arithmetic number, because the mean of its divisors is an integer number (71854237).

Almost surely, 2^1466406500 is an apocalyptic number.

1466406500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1466406500 is an abundant number, since it is smaller than the sum of its proper divisors (1982596876).

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

1466406500 is a wasteful number, since it uses less digits than its factorization.

1466406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225633 (or 225621 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1466406500 is about 38293.6874693467. The cubic root of 1466406500 is about 1136.1040961692.

The spelling of 1466406500 in words is "one billion, four hundred sixty-six million, four hundred six thousand, five hundred".