10467424 has 48 divisors (see below), whose sum is σ = 22752576. Its totient is φ = 4700800.

The previous prime is 10467419. The next prime is 10467433. The reversal of 10467424 is 42476401.

10467424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10467392 and 10467401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45999 + ... + 46225.

It is an arithmetic number, because the mean of its divisors is an integer number (474012).

Almost surely, 2^10467424 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 10467424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376288).

10467424 is an abundant number, since it is smaller than the sum of its proper divisors (12285152).

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

10467424 is a wasteful number, since it uses less digits than its factorization.

10467424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 10467424 is about 3235.3398585002. The cubic root of 10467424 is about 218.7492665009.

It can be divided in two parts, 104 and 67424, that added together give a triangular number (67528 = T₃₆₇).

The spelling of 10467424 in words is "ten million, four hundred sixty-seven thousand, four hundred twenty-four".