464720 has 40 divisors (see below), whose sum is σ = 1116744. Its totient is φ = 179712.

The previous prime is 464699. The next prime is 464741. The reversal of 464720 is 27464.

It is an interprime number because it is at equal distance from previous prime (464699) and next prime (464741).

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 379456 = 292^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

464720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2882 + ... + 3038.

2⁴⁶⁴⁷²⁰ is an apocalyptic number.

464720 is a gapful number since it is divisible by the number (40) 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 464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558372).

464720 is an abundant number, since it is smaller than the sum of its proper divisors (652024).

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

464720 is a wasteful number, since it uses less digits than its factorization.

464720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 464720 is about 681.7037479727. The cubic root of 464720 is about 77.4575556697.

The spelling of 464720 in words is "four hundred sixty-four thousand, seven hundred twenty".