10465440 has 48 divisors (see below), whose sum is σ = 32967648. Its totient is φ = 2790656.

The previous prime is 10465439. The next prime is 10465451. The reversal of 10465440 is 4456401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 10465440.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 10422 + ... + 11381.

It is an arithmetic number, because the mean of its divisors is an integer number (686826).

Almost surely, 2^10465440 is an apocalyptic number.

10465440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10465440 is an abundant number, since it is smaller than the sum of its proper divisors (22502208).

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

10465440 is a wasteful number, since it uses less digits than its factorization.

10465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21821 (or 21813 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10465440 is about 3235.0332301230. The cubic root of 10465440 is about 218.7354450180.

The spelling of 10465440 in words is "ten million, four hundred sixty-five thousand, four hundred forty".