463465600 has 144 divisors (see below), whose sum is σ = 1241195670. Its totient is φ = 170926080.

The previous prime is 463465579. The next prime is 463465601. The reversal of 463465600 is 6564364.

463465600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 6190144 + 457275456 = 2488^2 + 21384^2 .

It is not an unprimeable number, because it can be changed into a prime (463465601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 540372 + ... + 541228.

Almost surely, 2^463465600 is an apocalyptic number.

463465600 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 463465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620597835).

463465600 is an abundant number, since it is smaller than the sum of its proper divisors (777730070).

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

463465600 is a wasteful number, since it uses less digits than its factorization.

463465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 463465600 is about 21528.2512062638. The cubic root of 463465600 is about 773.8780018129.

The spelling of 463465600 in words is "four hundred sixty-three million, four hundred sixty-five thousand, six hundred".