10432464 has 80 divisors (see below), whose sum is σ = 31367040. Its totient is φ = 2926080.

The previous prime is 10432451. The next prime is 10432469. The reversal of 10432464 is 46423401.

10432464 = T₁₁₂ + T₁₁₃ + ... + T₃₉₉.

It is a super-2 number, since 2×10432464² = 217672610222592, which contains 22 as substring.

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 (10432469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20242 + ... + 20750.

It is an arithmetic number, because the mean of its divisors is an integer number (392088).

Almost surely, 2^10432464 is an apocalyptic number.

10432464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683520).

10432464 is an abundant number, since it is smaller than the sum of its proper divisors (20934576).

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

10432464 is a wasteful number, since it uses less digits than its factorization.

10432464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 10432464 is about 3229.9325070348. The cubic root of 10432464 is about 218.5054623556.

Adding to 10432464 its reverse (46423401), we get a palindrome (56855865).

The spelling of 10432464 in words is "ten million, four hundred thirty-two thousand, four hundred sixty-four".