462104676 has 240 divisors, whose sum is σ = 1448979840. Its totient is φ = 126766080.

The previous prime is 462104663. The next prime is 462104677. The reversal of 462104676 is 676401264.

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

It is a self number, because there is not a number n which added to its sum of digits gives 462104676.

It is not an unprimeable number, because it can be changed into a prime (462104677) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1756921 + ... + 1757183.

It is an arithmetic number, because the mean of its divisors is an integer number (6037416).

Almost surely, 2^462104676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462104676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724489920).

462104676 is an abundant number, since it is smaller than the sum of its proper divisors (986875164).

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

462104676 is a wasteful number, since it uses less digits than its factorization.

462104676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 462104676 is about 21496.6201064260. The cubic root of 462104676 is about 773.1197853850.

The spelling of 462104676 in words is "four hundred sixty-two million, one hundred four thousand, six hundred seventy-six".