463403362752 has 336 divisors, whose sum is σ = 1491617267712. Its totient is φ = 136344176640.

The previous prime is 463403362703. The next prime is 463403362753. The reversal of 463403362752 is 257263304364.

463403362752 is a `hidden beast` number, since 4 + 6 + 3 + 40 + 336 + 275 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 463403362698 and 463403362707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463403362753) 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, 37813458 + ... + 37825710.

Almost surely, 2^463403362752 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 463403362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745808633856).

463403362752 is an abundant number, since it is smaller than the sum of its proper divisors (1028213904960).

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

463403362752 is a wasteful number, since it uses less digits than its factorization.

463403362752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456 (or 12443 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 463403362752 in words is "four hundred sixty-three billion, four hundred three million, three hundred sixty-two thousand, seven hundred fifty-two".