463014552 has 128 divisors (see below), whose sum is σ = 1554255360. Its totient is φ = 111006720.

The previous prime is 463014547. The next prime is 463014557. The reversal of 463014552 is 255410364.

It is an interprime number because it is at equal distance from previous prime (463014547) and next prime (463014557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463014557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14388 + ... + 33660.

It is an arithmetic number, because the mean of its divisors is an integer number (12142620).

Almost surely, 2^463014552 is an apocalyptic number.

463014552 is a gapful number since it is divisible by the number (42) 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 463014552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777127680).

463014552 is an abundant number, since it is smaller than the sum of its proper divisors (1091240808).

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

463014552 is a wasteful number, since it uses less digits than its factorization.

463014552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19313 (or 19309 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 463014552 is about 21517.7729330895. The cubic root of 463014552 is about 773.6268724800.

The spelling of 463014552 in words is "four hundred sixty-three million, fourteen thousand, five hundred fifty-two".