10464804 has 72 divisors (see below), whose sum is σ = 30558528. Its totient is φ = 2957760.

The previous prime is 10464803. The next prime is 10464829. The reversal of 10464804 is 40846401.

10464804 is a `hidden beast` number, since 10 + 4 + 648 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (10464803) 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 23 ways as a sum of consecutive naturals, for example, 32854 + ... + 33170.

It is an arithmetic number, because the mean of its divisors is an integer number (424424).

Almost surely, 2^10464804 is an apocalyptic number.

10464804 is a gapful number since it is divisible by the number (14) 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 10464804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279264).

10464804 is an abundant number, since it is smaller than the sum of its proper divisors (20093724).

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

10464804 is a wasteful number, since it uses less digits than its factorization.

10464804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10464804 is about 3234.9349297938. The cubic root of 10464804 is about 218.7310139712.

The spelling of 10464804 in words is "ten million, four hundred sixty-four thousand, eight hundred four".