463537152 has 264 divisors, whose sum is σ = 1488725784. Its totient is φ = 138018816.

The previous prime is 463537133. The next prime is 463537159. The reversal of 463537152 is 251735364.

463537152 is a `hidden beast` number, since 4 + 635 + 3 + 7 + 15 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53231616 + 410305536 = 7296^2 + 20256^2 .

It is a super-2 number, since 2×463537152² = 429733382568542208, which contains 22 as substring.

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

Its product of digits (75600) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (463537159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6349788 + ... + 6349860.

Almost surely, 2^463537152 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 463537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744362892).

463537152 is an abundant number, since it is smaller than the sum of its proper divisors (1025188632).

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

463537152 is a wasteful number, since it uses less digits than its factorization.

463537152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 463537152 is about 21529.9129584864. The cubic root of 463537152 is about 773.9178247393.

The spelling of 463537152 in words is "four hundred sixty-three million, five hundred thirty-seven thousand, one hundred fifty-two".