463443552 has 384 divisors, whose sum is σ = 1652797440. Its totient is φ = 125452800.

The previous prime is 463443527. The next prime is 463443553. The reversal of 463443552 is 255344364.

463443552 is a `hidden beast` number, since 4 + 63 + 4 + 43 + 552 = 666.

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

Its product of digits (172800) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463443553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14949777 + ... + 14949807.

It is an arithmetic number, because the mean of its divisors is an integer number (4304160).

Almost surely, 2^463443552 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 463443552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826398720).

463443552 is an abundant number, since it is smaller than the sum of its proper divisors (1189353888).

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

463443552 is a wasteful number, since it uses less digits than its factorization.

463443552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 463443552 is about 21527.7391288542. The cubic root of 463443552 is about 773.8657299688.

The spelling of 463443552 in words is "four hundred sixty-three million, four hundred forty-three thousand, five hundred fifty-two".