1461695872 has 192 divisors, whose sum is σ = 3695868000. Its totient is φ = 575318016.

The previous prime is 1461695867. The next prime is 1461695899. The reversal of 1461695872 is 2785961641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7419678 + ... + 7419874.

Almost surely, 2^1461695872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847934000).

1461695872 is an abundant number, since it is smaller than the sum of its proper divisors (2234172128).

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

1461695872 is an equidigital number, since it uses as much as digits as its factorization.

1461695872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 219 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 1461695872 is about 38232.1314080186. The cubic root of 1461695872 is about 1134.8862654572.

The spelling of 1461695872 in words is "one billion, four hundred sixty-one million, six hundred ninety-five thousand, eight hundred seventy-two".