10436480 has 64 divisors (see below), whose sum is σ = 26071200. Its totient is φ = 3987456.

The previous prime is 10436473. The next prime is 10436507. The reversal of 10436480 is 8463401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10436480² = 217840229580800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14366 + ... + 15074.

Almost surely, 2^10436480 is an apocalyptic number.

10436480 is a gapful number since it is divisible by the number (10) 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 10436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035600).

10436480 is an abundant number, since it is smaller than the sum of its proper divisors (15634720).

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

10436480 is an equidigital number, since it uses as much as digits as its factorization.

10436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 10436480 is about 3230.5541320337. The cubic root of 10436480 is about 218.5334968116.

Adding to 10436480 its reverse (8463401), we get a palindrome (18899881).

The spelling of 10436480 in words is "ten million, four hundred thirty-six thousand, four hundred eighty".