465842052 has 72 divisors (see below), whose sum is σ = 1289695680. Its totient is φ = 140898240.

The previous prime is 465842033. The next prime is 465842063. The reversal of 465842052 is 250248564.

It is a happy number.

465842052 is a `hidden beast` number, since 4 + 6 + 584 + 20 + 52 = 666.

It is a super-3 number, since 3×465842052³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 465841998 and 465842016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19177 + ... + 36047.

It is an arithmetic number, because the mean of its divisors is an integer number (17912440).

Almost surely, 2^465842052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465842052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644847840).

465842052 is an abundant number, since it is smaller than the sum of its proper divisors (823853628).

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

465842052 is a wasteful number, since it uses less digits than its factorization.

465842052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16953 (or 16948 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 465842052 is about 21583.3744349673. The cubic root of 465842052 is about 775.1984518495.

The spelling of 465842052 in words is "four hundred sixty-five million, eight hundred forty-two thousand, fifty-two".