461446000 has 80 divisors (see below), whose sum is σ = 1139748480. Its totient is φ = 180614400.

The previous prime is 461445979. The next prime is 461446039. The reversal of 461446000 is 644164.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 91546 + ... + 96454.

It is an arithmetic number, because the mean of its divisors is an integer number (14246856).

Almost surely, 2^461446000 is an apocalyptic number.

461446000 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 461446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569874240).

461446000 is an abundant number, since it is smaller than the sum of its proper divisors (678302480).

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

461446000 is a wasteful number, since it uses less digits than its factorization.

461446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 461446000 is about 21481.2941882001. The cubic root of 461446000 is about 772.7522802015.

The spelling of 461446000 in words is "four hundred sixty-one million, four hundred forty-six thousand".