463507128 has 192 divisors, whose sum is σ = 1528800000. Its totient is φ = 123918336.

The previous prime is 463507123. The next prime is 463507151. The reversal of 463507128 is 821705364.

463507128 is a `hidden beast` number, since 4 + 635 + 0 + 7 + 12 + 8 = 666.

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 = 463507092 and 463507101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463507123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928623 + ... + 929121.

It is an arithmetic number, because the mean of its divisors is an integer number (7962500).

Almost surely, 2^463507128 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 463507128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764400000).

463507128 is an abundant number, since it is smaller than the sum of its proper divisors (1065292872).

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

463507128 is a wasteful number, since it uses less digits than its factorization.

463507128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 463507128 is about 21529.2156847387. The cubic root of 463507128 is about 773.9011151039.

The spelling of 463507128 in words is "four hundred sixty-three million, five hundred seven thousand, one hundred twenty-eight".