10004460 has 24 divisors (see below), whose sum is σ = 28012656. Its totient is φ = 2667840.

The previous prime is 10004459. The next prime is 10004461. The reversal of 10004460 is 6440001.

It is an interprime number because it is at equal distance from previous prime (10004459) and next prime (10004461).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10004461) 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 7 ways as a sum of consecutive naturals, for example, 83311 + ... + 83430.

It is an arithmetic number, because the mean of its divisors is an integer number (1167194).

Almost surely, 2^10004460 is an apocalyptic number.

10004460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004460 is an abundant number, since it is smaller than the sum of its proper divisors (18008196).

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

10004460 is a wasteful number, since it uses less digits than its factorization.

10004460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166753 (or 166751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10004460 is about 3162.9827694757. The cubic root of 10004460 is about 215.4754935051.

Adding to 10004460 its reverse (6440001), we get a palindrome (16444461).

It can be divided in two parts, 1000 and 4460, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 10004460 in words is "ten million, four thousand, four hundred sixty".