464920 has 32 divisors (see below), whose sum is σ = 1069200. Its totient is φ = 181888.

The previous prime is 464917. The next prime is 464923. The reversal of 464920 is 29464.

464920 = 169² + 170² + ... + 183².

It is an interprime number because it is at equal distance from previous prime (464917) and next prime (464923).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2262 + ... + 2458.

2⁴⁶⁴⁹²⁰ is an apocalyptic number.

464920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

464920 is the 394-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534600).

464920 is an abundant number, since it is smaller than the sum of its proper divisors (604280).

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

464920 is a wasteful number, since it uses less digits than its factorization.

464920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 464920 is about 681.8504234801. The cubic root of 464920 is about 77.4686657928.

The spelling of 464920 in words is "four hundred sixty-four thousand, nine hundred twenty".