469920 has 96 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 112640.

The previous prime is 469919. The next prime is 469939. The reversal of 469920 is 29964.

469920 = T₅₅ + T₅₆ + ... + T₁₄₃.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 469920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5236 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁴⁶⁹⁹²⁰ is an apocalyptic number.

469920 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 469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

469920 is an abundant number, since it is smaller than the sum of its proper divisors (1163040).

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

469920 is a wasteful number, since it uses less digits than its factorization.

469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 469920 is about 685.5071115605. The cubic root of 469920 is about 77.7453893869.

The spelling of 469920 in words is "four hundred sixty-nine thousand, nine hundred twenty".