10509464 has 16 divisors (see below), whose sum is σ = 22520400. Its totient is φ = 4504032.

The previous prime is 10509463. The next prime is 10509467. The reversal of 10509464 is 46490501.

10509464 = T₃₇₆ + T₃₇₇ + ... + T₄₈₇.

It is a super-2 number, since 2×10509464² = 220897667134592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93779 + ... + 93890.

It is an arithmetic number, because the mean of its divisors is an integer number (1407525).

Almost surely, 2^10509464 is an apocalyptic number.

10509464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10509464 is an abundant number, since it is smaller than the sum of its proper divisors (12010936).

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

10509464 is a wasteful number, since it uses less digits than its factorization.

10509464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187682 (or 187678 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 10509464 is about 3241.8303471959. The cubic root of 10509464 is about 219.0417273478.

Adding to 10509464 its reverse (46490501), we get a palindrome (56999965).

The spelling of 10509464 in words is "ten million, five hundred nine thousand, four hundred sixty-four".