351264 has 24 divisors (see below), whose sum is σ = 922320. Its totient is φ = 117056.

The previous prime is 351259. The next prime is 351269. The reversal of 351264 is 462153.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (351259) and next prime (351269).

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 351264.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 351264.

It is not an unprimeable number, because it can be changed into a prime (351269) by changing a digit.

351264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1734 + ... + 1925.

It is an arithmetic number, because the mean of its divisors is an integer number (38430).

2³⁵¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

351264 is an abundant number, since it is smaller than the sum of its proper divisors (571056).

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

351264 is a wasteful number, since it uses less digits than its factorization.

351264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 351264 is about 592.6752905259. The cubic root of 351264 is about 70.5577214519.

Subtracting 351264 from its reverse (462153), we obtain a square (110889 = 333²).

The spelling of 351264 in words is "three hundred fifty-one thousand, two hundred sixty-four".