469334880 has 288 divisors, whose sum is σ = 1852538688. Its totient is φ = 105984000.

The previous prime is 469334857. The next prime is 469334881. The reversal of 469334880 is 88433964.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×469334880² = 440550459169228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469334881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1017850 + ... + 1018310.

It is an arithmetic number, because the mean of its divisors is an integer number (6432426).

Almost surely, 2^469334880 is an apocalyptic number.

469334880 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 469334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926269344).

469334880 is an abundant number, since it is smaller than the sum of its proper divisors (1383203808).

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

469334880 is a wasteful number, since it uses less digits than its factorization.

469334880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 469334880 is about 21664.1381088655. The cubic root of 469334880 is about 777.1310780984.

The spelling of 469334880 in words is "four hundred sixty-nine million, three hundred thirty-four thousand, eight hundred eighty".