465581052 has 36 divisors (see below), whose sum is σ = 1177558200. Its totient is φ = 155104992.

The previous prime is 465581029. The next prime is 465581063. The reversal of 465581052 is 250185564.

465581052 is a `hidden beast` number, since 46 + 558 + 10 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 465580998 and 465581016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100074 + ... + 104622.

It is an arithmetic number, because the mean of its divisors is an integer number (32709950).

Almost surely, 2^465581052 is an apocalyptic number.

465581052 is the 13647-th heptagonal number.

It is an amenable number.

465581052 is an abundant number, since it is smaller than the sum of its proper divisors (711977148).

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

465581052 is a wasteful number, since it uses less digits than its factorization.

465581052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7397 counting only the distinct ones).

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

The square root of 465581052 is about 21577.3272672961. The cubic root of 465581052 is about 775.0536498413.

The spelling of 465581052 in words is "four hundred sixty-five million, five hundred eighty-one thousand, fifty-two".