1460468772 has 192 divisors, whose sum is σ = 4451328000. Its totient is φ = 405506304.

The previous prime is 1460468767. The next prime is 1460468777. The reversal of 1460468772 is 2778640641.

1460468772 is a `hidden beast` number, since 1 + 460 + 46 + 87 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1460468767) and next prime (1460468777).

It is not an unprimeable number, because it can be changed into a prime (1460468777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6110629 + ... + 6110867.

It is an arithmetic number, because the mean of its divisors is an integer number (23184000).

Almost surely, 2^1460468772 is an apocalyptic number.

1460468772 is a gapful number since it is divisible by the number (12) 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 1460468772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225664000).

1460468772 is an abundant number, since it is smaller than the sum of its proper divisors (2990859228).

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

1460468772 is a wasteful number, since it uses less digits than its factorization.

1460468772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 1460468772 is about 38216.0800187565. The cubic root of 1460468772 is about 1134.5685959046.

The spelling of 1460468772 in words is "one billion, four hundred sixty million, four hundred sixty-eight thousand, seven hundred seventy-two".