1460166432 has 48 divisors (see below), whose sum is σ = 3847253760. Its totient is φ = 484904192.

The previous prime is 1460166403. The next prime is 1460166439. The reversal of 1460166432 is 2346610641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1460166432² = 4264172018279221248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1460166393 and 1460166402.

It is not an unprimeable number, because it can be changed into a prime (1460166439) 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 7 ways as a sum of consecutive naturals, for example, 2448 + ... + 54095.

It is an arithmetic number, because the mean of its divisors is an integer number (80151120).

Almost surely, 2^1460166432 is an apocalyptic number.

1460166432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1460166432 is an abundant number, since it is smaller than the sum of its proper divisors (2387087328).

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

1460166432 is a wasteful number, since it uses less digits than its factorization.

1460166432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56825 (or 56817 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1460166432 is about 38212.1241492802. The cubic root of 1460166432 is about 1134.4902993217.

The spelling of 1460166432 in words is "one billion, four hundred sixty million, one hundred sixty-six thousand, four hundred thirty-two".