1461648432 has 40 divisors (see below), whose sum is σ = 3863742784. Its totient is φ = 475884864.

The previous prime is 1461648431. The next prime is 1461648449. The reversal of 1461648432 is 2348461641.

It is a super-2 number, since 2×1461648432² = 4272832277536117248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1461648431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352018 + ... + 356145.

Almost surely, 2^1461648432 is an apocalyptic number.

1461648432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1461648432 is an abundant number, since it is smaller than the sum of its proper divisors (2402094352).

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

1461648432 is a wasteful number, since it uses less digits than its factorization.

1461648432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708217 (or 708211 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 1461648432 is about 38231.5109824344. The cubic root of 1461648432 is about 1134.8739875756.

The spelling of 1461648432 in words is "one billion, four hundred sixty-one million, six hundred forty-eight thousand, four hundred thirty-two".