465553536 has 256 divisors, whose sum is σ = 1508229120. Its totient is φ = 124416000.

The previous prime is 465553531. The next prime is 465553547. The reversal of 465553536 is 635355564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (465553531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3083061 + ... + 3083211.

It is an arithmetic number, because the mean of its divisors is an integer number (5891520).

Almost surely, 2^465553536 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 465553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754114560).

465553536 is an abundant number, since it is smaller than the sum of its proper divisors (1042675584).

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

465553536 is a wasteful number, since it uses less digits than its factorization.

465553536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 810000, while the sum is 42.

The square root of 465553536 is about 21576.6896441507. The cubic root of 465553536 is about 775.0383808949.

The spelling of 465553536 in words is "four hundred sixty-five million, five hundred fifty-three thousand, five hundred thirty-six".