10409464 has 32 divisors (see below), whose sum is σ = 21248640. Its totient is φ = 4752000.

The previous prime is 10409461. The next prime is 10409479. The reversal of 10409464 is 46490401.

10409464 = 112² + 113² + ... + 319².

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409461) 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, 10009 + ... + 10999.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^10409464 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 10409464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624320).

10409464 is an abundant number, since it is smaller than the sum of its proper divisors (10839176).

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

10409464 is a wasteful number, since it uses less digits than its factorization.

10409464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10409464 is about 3226.3700965636. The cubic root of 10409464 is about 218.3447677066.

Adding to 10409464 its reverse (46490401), we get a palindrome (56899865).

The spelling of 10409464 in words is "ten million, four hundred nine thousand, four hundred sixty-four".