463062528 has 320 divisors, whose sum is σ = 1512403200. Its totient is φ = 139345920.

The previous prime is 463062493. The next prime is 463062553. The reversal of 463062528 is 825260364.

463062528 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 625 + 28 = 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 = 463062492 and 463062501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10768875 + ... + 10768917.

It is an arithmetic number, because the mean of its divisors is an integer number (4726260).

Almost surely, 2^463062528 is an apocalyptic number.

463062528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463062528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756201600).

463062528 is an abundant number, since it is smaller than the sum of its proper divisors (1049340672).

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

463062528 is a wasteful number, since it uses less digits than its factorization.

463062528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 463062528 is about 21518.8877035966. The cubic root of 463062528 is about 773.6535917561.

The spelling of 463062528 in words is "four hundred sixty-three million, sixty-two thousand, five hundred twenty-eight".