1460861952 has 176 divisors, whose sum is σ = 4499338752. Its totient is φ = 416481280.

The previous prime is 1460861933. The next prime is 1460861953. The reversal of 1460861952 is 2591680641.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460861953) 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 15 ways as a sum of consecutive naturals, for example, 573193 + ... + 575735.

Almost surely, 2^1460861952 is an apocalyptic number.

1460861952 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 1460861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249669376).

1460861952 is an abundant number, since it is smaller than the sum of its proper divisors (3038476800).

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

1460861952 is a wasteful number, since it uses less digits than its factorization.

1460861952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1460861952 is about 38221.2238422581. The cubic root of 1460861952 is about 1134.6704010381.

The spelling of 1460861952 in words is "one billion, four hundred sixty million, eight hundred sixty-one thousand, nine hundred fifty-two".