1461917952 has 216 divisors, whose sum is σ = 4725564480. Its totient is φ = 430755840.

The previous prime is 1461917917. The next prime is 1461917971. The reversal of 1461917952 is 2597191641.

1461917952 is a `hidden beast` number, since 14 + 619 + 17 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1461917898 and 1461917907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936949 + ... + 938507.

Almost surely, 2^1461917952 is an apocalyptic number.

1461917952 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 1461917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362782240).

1461917952 is an abundant number, since it is smaller than the sum of its proper divisors (3263646528).

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

1461917952 is a wasteful number, since it uses less digits than its factorization.

1461917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1612 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1461917952 is about 38235.0356610269. The cubic root of 1461917952 is about 1134.9437381467.

The spelling of 1461917952 in words is "one billion, four hundred sixty-one million, nine hundred seventeen thousand, nine hundred fifty-two".