465855012 has 144 divisors (see below), whose sum is σ = 1463978880. Its totient is φ = 121844736.

The previous prime is 465854989. The next prime is 465855031. The reversal of 465855012 is 210558564.

465855012 is a `hidden beast` number, since 46 + 58 + 550 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157039 + ... + 159977.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2^465855012 is an apocalyptic number.

465855012 is a gapful number since it is divisible by the number (42) 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 465855012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

465855012 is an abundant number, since it is smaller than the sum of its proper divisors (998123868).

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

465855012 is a wasteful number, since it uses less digits than its factorization.

465855012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 465855012 is about 21583.6746639677. The cubic root of 465855012 is about 775.2056406086.

The spelling of 465855012 in words is "four hundred sixty-five million, eight hundred fifty-five thousand, twelve".