465153516 has 144 divisors (see below), whose sum is σ = 1302537600. Its totient is φ = 144726912.

The previous prime is 465153499. The next prime is 465153527. The reversal of 465153516 is 615351564.

465153516 is a `hidden beast` number, since 46 + 51 + 53 + 516 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1643511 + ... + 1643793.

It is an arithmetic number, because the mean of its divisors is an integer number (9045400).

Almost surely, 2^465153516 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 465153516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651268800).

465153516 is an abundant number, since it is smaller than the sum of its proper divisors (837384084).

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

465153516 is a wasteful number, since it uses less digits than its factorization.

465153516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 465153516 is about 21567.4179261218. The cubic root of 465153516 is about 774.8163371928.

The spelling of 465153516 in words is "four hundred sixty-five million, one hundred fifty-three thousand, five hundred sixteen".