10200464 has 10 divisors (see below), whose sum is σ = 19763430. Its totient is φ = 5100224.

The previous prime is 10200461. The next prime is 10200469. The reversal of 10200464 is 46400201.

It can be written as a sum of positive squares in only one way, i.e., 9560464 + 640000 = 3092^2 + 800^2 .

It is not an unprimeable number, because it can be changed into a prime (10200461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 318749 + ... + 318780.

It is an arithmetic number, because the mean of its divisors is an integer number (1976343).

Almost surely, 2^10200464 is an apocalyptic number.

It is an amenable number.

10200464 is a deficient number, since it is larger than the sum of its proper divisors (9562966).

10200464 is an equidigital number, since it uses as much as digits as its factorization.

10200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637537 (or 637531 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10200464 is about 3193.8165257259. The cubic root of 10200464 is about 216.8735769658.

Adding to 10200464 its reverse (46400201), we get a palindrome (56600665).

It can be divided in two parts, 102004 and 64, that multiplied together give a palindrome (6528256).

The spelling of 10200464 in words is "ten million, two hundred thousand, four hundred sixty-four".