461729046 has 16 divisors (see below), whose sum is σ = 936465408. Its totient is φ = 151741800.

The previous prime is 461729041. The next prime is 461729077. The reversal of 461729046 is 640927164.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 461728995 and 461729013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461729041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541510 + ... + 542361.

It is an arithmetic number, because the mean of its divisors is an integer number (58529088).

Almost surely, 2^461729046 is an apocalyptic number.

461729046 is an abundant number, since it is smaller than the sum of its proper divisors (474736362).

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

461729046 is a wasteful number, since it uses less digits than its factorization.

461729046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083947.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 461729046 is about 21487.8813753241. The cubic root of 461729046 is about 772.9102472125.

The spelling of 461729046 in words is "four hundred sixty-one million, seven hundred twenty-nine thousand, forty-six".