10405464 has 48 divisors (see below), whose sum is σ = 27477720. Its totient is φ = 3283200.

The previous prime is 10405459. The next prime is 10405469. The reversal of 10405464 is 46450401.

10405464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10405459) and next prime (10405469).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8064 + ... + 9264.

Almost surely, 2^10405464 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 10405464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738860).

10405464 is an abundant number, since it is smaller than the sum of its proper divisors (17072256).

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

10405464 is a wasteful number, since it uses less digits than its factorization.

10405464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10405464 is about 3225.7501453150. The cubic root of 10405464 is about 218.3167966549.

Adding to 10405464 its reverse (46450401), we get a palindrome (56855865).

The spelling of 10405464 in words is "ten million, four hundred five thousand, four hundred sixty-four".