461193840 has 120 divisors (see below), whose sum is σ = 1630409040. Its totient is φ = 116508672.

The previous prime is 461193839. The next prime is 461193841. The reversal of 461193840 is 48391164.

461193840 is a `hidden beast` number, since 4 + 611 + 9 + 38 + 4 + 0 = 666.

461193840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (461193839) and next prime (461193841).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461193795 and 461193804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461193841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3177 + ... + 30536.

It is an arithmetic number, because the mean of its divisors is an integer number (13586742).

Almost surely, 2^461193840 is an apocalyptic number.

461193840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461193840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815204520).

461193840 is an abundant number, since it is smaller than the sum of its proper divisors (1169215200).

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

461193840 is a wasteful number, since it uses less digits than its factorization.

461193840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33751 (or 33742 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 461193840 is about 21475.4240936006. The cubic root of 461193840 is about 772.6114961448.

The spelling of 461193840 in words is "four hundred sixty-one million, one hundred ninety-three thousand, eight hundred forty".