465076404 has 120 divisors (see below), whose sum is σ = 1322641320. Its totient is φ = 141647616.

The previous prime is 465076387. The next prime is 465076411. The reversal of 465076404 is 404670564.

465076404 is a `hidden beast` number, since 4 + 6 + 5 + 0 + 7 + 640 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 462680100 = 1548^2 + 21510^2 .

It is a super-3 number, since 3×465076404³ (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 congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 458602 + ... + 459614.

It is an arithmetic number, because the mean of its divisors is an integer number (11022011).

Almost surely, 2^465076404 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 465076404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661320660).

465076404 is an abundant number, since it is smaller than the sum of its proper divisors (857564916).

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

465076404 is a wasteful number, since it uses less digits than its factorization.

465076404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 465076404 is about 21565.6301554116. The cubic root of 465076404 is about 774.7735191143.

The spelling of 465076404 in words is "four hundred sixty-five million, seventy-six thousand, four hundred four".