1461199446 has 128 divisors (see below), whose sum is σ = 4032921600. Its totient is φ = 382695840.

The previous prime is 1461199433. The next prime is 1461199483. The reversal of 1461199446 is 6449911641.

1461199446 is a `hidden beast` number, since 14 + 6 + 1 + 199 + 446 = 666.

It is a super-5 number, since 5×1461199446⁵ (a number of 47 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 219361 + ... + 225923.

It is an arithmetic number, because the mean of its divisors is an integer number (31507200).

Almost surely, 2^1461199446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461199446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016460800).

1461199446 is an abundant number, since it is smaller than the sum of its proper divisors (2571722154).

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

1461199446 is a wasteful number, since it uses less digits than its factorization.

1461199446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6625 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1461199446 is about 38225.6385950582. The cubic root of 1461199446 is about 1134.7577729640.

The spelling of 1461199446 in words is "one billion, four hundred sixty-one million, one hundred ninety-nine thousand, four hundred forty-six".