469434000288 has 96 divisors (see below), whose sum is σ = 1344445808832. Its totient is φ = 142236057600.

The previous prime is 469434000253. The next prime is 469434000313. The reversal of 469434000288 is 882000434964.

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

It is a super-3 number, since 3×469434000288³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11334498 + ... + 11375838.

It is an arithmetic number, because the mean of its divisors is an integer number (14004643842).

Almost surely, 2^469434000288 is an apocalyptic number.

469434000288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

469434000288 is an abundant number, since it is smaller than the sum of its proper divisors (875011808544).

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

469434000288 is a wasteful number, since it uses less digits than its factorization.

469434000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52118 (or 52110 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 469434000288 in words is "four hundred sixty-nine billion, four hundred thirty-four million, two hundred eighty-eight", and thus it is an aban number.