461193642 has 128 divisors (see below), whose sum is σ = 1273036800. Its totient is φ = 120512448.

The previous prime is 461193637. The next prime is 461193653. The reversal of 461193642 is 246391164.

461193642 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 9 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 461193597 and 461193606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623709 + ... + 624447.

It is an arithmetic number, because the mean of its divisors is an integer number (9945600).

Almost surely, 2^461193642 is an apocalyptic number.

461193642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 461193642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636518400).

461193642 is an abundant number, since it is smaller than the sum of its proper divisors (811843158).

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

461193642 is a wasteful number, since it uses less digits than its factorization.

461193642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 461193642 is about 21475.4194836795. The cubic root of 461193642 is about 772.6113855788.

The spelling of 461193642 in words is "four hundred sixty-one million, one hundred ninety-three thousand, six hundred forty-two".