1460417952 has 72 divisors (see below), whose sum is σ = 4459504896. Its totient is φ = 417260928.

The previous prime is 1460417941. The next prime is 1460417953. The reversal of 1460417952 is 2597140641.

It is a self number, because there is not a number n which added to its sum of digits gives 1460417952.

It is not an unprimeable number, because it can be changed into a prime (1460417953) 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 11 ways as a sum of consecutive naturals, for example, 150528 + ... + 159935.

It is an arithmetic number, because the mean of its divisors is an integer number (61937568).

Almost surely, 2^1460417952 is an apocalyptic number.

1460417952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1460417952 is an abundant number, since it is smaller than the sum of its proper divisors (2999086944).

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

1460417952 is a wasteful number, since it uses less digits than its factorization.

1460417952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310490 (or 310475 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1460417952 is about 38215.4151096125. The cubic root of 1460417952 is about 1134.5554358731. Note that the first 3 decimals are identical.

The spelling of 1460417952 in words is "one billion, four hundred sixty million, four hundred seventeen thousand, nine hundred fifty-two".