1461634440 has 64 divisors (see below), whose sum is σ = 5011320960. Its totient is φ = 334087680.

The previous prime is 1461634411. The next prime is 1461634453. The reversal of 1461634440 is 444361641.

It is a super-2 number, since 2×1461634440² = 4272750472388227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869181 + ... + 870860.

It is an arithmetic number, because the mean of its divisors is an integer number (78301890).

Almost surely, 2^1461634440 is an apocalyptic number.

1461634440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461634440 is an abundant number, since it is smaller than the sum of its proper divisors (3549686520).

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

1461634440 is a wasteful number, since it uses less digits than its factorization.

1461634440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740062 (or 1740058 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1461634440 is about 38231.3279915830. The cubic root of 1461634440 is about 1134.8703662744.

The spelling of 1461634440 in words is "one billion, four hundred sixty-one million, six hundred thirty-four thousand, four hundred forty".