463745520 has 160 divisors (see below), whose sum is σ = 1825597440. Its totient is φ = 105995520.

The previous prime is 463745519. The next prime is 463745539. The reversal of 463745520 is 25547364.

463745520 is a `hidden beast` number, since 4 + 63 + 74 + 5 + 520 = 666.

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

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, 216 + ... + 30455.

It is an arithmetic number, because the mean of its divisors is an integer number (11409984).

Almost surely, 2^463745520 is an apocalyptic number.

463745520 is a gapful number since it is divisible by the number (40) 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 463745520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912798720).

463745520 is an abundant number, since it is smaller than the sum of its proper divisors (1361851920).

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

463745520 is a wasteful number, since it uses less digits than its factorization.

463745520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30700 (or 30688 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 463745520 is about 21534.7514496917. The cubic root of 463745520 is about 774.0337705354.

The spelling of 463745520 in words is "four hundred sixty-three million, seven hundred forty-five thousand, five hundred twenty".