10430464 has 48 divisors (see below), whose sum is σ = 22800960. Its totient is φ = 4730880.

The previous prime is 10430461. The next prime is 10430471. The reversal of 10430464 is 46403401.

It is a happy number.

It is a super-3 number, since 3×10430464³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10430461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22297 + ... + 22759.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 2^10430464 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 10430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400480).

10430464 is an abundant number, since it is smaller than the sum of its proper divisors (12370496).

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

10430464 is an equidigital number, since it uses as much as digits as its factorization.

10430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 10430464 is about 3229.6228882023. The cubic root of 10430464 is about 218.4914982894.

Adding to 10430464 its reverse (46403401), we get a palindrome (56833865).

The spelling of 10430464 in words is "ten million, four hundred thirty thousand, four hundred sixty-four".