469946880 has 320 divisors, whose sum is σ = 1801134720. Its totient is φ = 115458048.

The previous prime is 469946831. The next prime is 469946899. The reversal of 469946880 is 88649964.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898299 + ... + 898821.

It is an arithmetic number, because the mean of its divisors is an integer number (5628546).

Almost surely, 2^469946880 is an apocalyptic number.

469946880 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 469946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900567360).

469946880 is an abundant number, since it is smaller than the sum of its proper divisors (1331187840).

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

469946880 is a wasteful number, since it uses less digits than its factorization.

469946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 469946880 is about 21678.2582326164. The cubic root of 469946880 is about 777.4687173581.

The spelling of 469946880 in words is "four hundred sixty-nine million, nine hundred forty-six thousand, eight hundred eighty".