464880 has 80 divisors (see below), whose sum is σ = 1562400. Its totient is φ = 113664.

The previous prime is 464879. The next prime is 464897. The reversal of 464880 is 88464.

464880 = T₂₄ + T₂₅ + ... + T₁₄₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×464880² = 432226828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3046 + ... + 3194.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2⁴⁶⁴⁸⁸⁰ is an apocalyptic number.

464880 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 464880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200).

464880 is an abundant number, since it is smaller than the sum of its proper divisors (1097520).

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

464880 is a wasteful number, since it uses less digits than its factorization.

464880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 464880 is about 681.8210909029. The cubic root of 464880 is about 77.4664440231.

The spelling of 464880 in words is "four hundred sixty-four thousand, eight hundred eighty".