10502464 has 84 divisors (see below), whose sum is σ = 25799796. Its totient is φ = 4214784.

The previous prime is 10502461. The next prime is 10502473. The reversal of 10502464 is 46420501.

It can be written as a sum of positive squares in 2 ways, for example, as 9486400 + 1016064 = 3080^2 + 1008^2 .

It is a super-2 number, since 2×10502464² = 220603500142592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10502461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53214 + ... + 53410.

Almost surely, 2^10502464 is an apocalyptic number.

10502464 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 10502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899898).

10502464 is an abundant number, since it is smaller than the sum of its proper divisors (15297332).

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

10502464 is a wasteful number, since it uses less digits than its factorization.

10502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 10502464 is about 3240.7505303556. The cubic root of 10502464 is about 218.9930844407.

Adding to 10502464 its reverse (46420501), we get a palindrome (56922965).

The spelling of 10502464 in words is "ten million, five hundred two thousand, four hundred sixty-four".