465412128 has 48 divisors (see below), whose sum is σ = 1293576480. Its totient is φ = 146011136.

The previous prime is 465412121. The next prime is 465412139. The reversal of 465412128 is 821214564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (465412121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140958 + ... + 144221.

It is an arithmetic number, because the mean of its divisors is an integer number (26949510).

Almost surely, 2^465412128 is an apocalyptic number.

465412128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

465412128 is an abundant number, since it is smaller than the sum of its proper divisors (828164352).

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

465412128 is a wasteful number, since it uses less digits than its factorization.

465412128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285209 (or 285201 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 465412128 is about 21573.4125256066. The cubic root of 465412128 is about 774.9599024693.

The spelling of 465412128 in words is "four hundred sixty-five million, four hundred twelve thousand, one hundred twenty-eight".