464352 has 48 divisors (see below), whose sum is σ = 1395072. Its totient is φ = 132480.

The previous prime is 464351. The next prime is 464371. The reversal of 464352 is 253464.

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

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

It is a d-powerful number, because it can be written as 4² + 6⁷ + 3¹¹ + 4⁶ + 5⁵ + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (29064).

2⁴⁶⁴³⁵² is an apocalyptic number.

464352 is a gapful number since it is divisible by the number (42) 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 464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697536).

464352 is an abundant number, since it is smaller than the sum of its proper divisors (930720).

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

464352 is a wasteful number, since it uses less digits than its factorization.

464352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 703 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 464352 is about 681.4337825497. The cubic root of 464352 is about 77.4371047116.

The spelling of 464352 in words is "four hundred sixty-four thousand, three hundred fifty-two".