463060000 has 180 divisors, whose sum is σ = 1242572562. Its totient is φ = 169728000.

The previous prime is 463059997. The next prime is 463060009. The reversal of 463060000 is 60364.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 337530384 + 125529616 = 18372^2 + 11204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 463060000.

It is not an unprimeable number, because it can be changed into a prime (463060009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3379932 + ... + 3380068.

Almost surely, 2^463060000 is an apocalyptic number.

463060000 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 463060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621286281).

463060000 is an abundant number, since it is smaller than the sum of its proper divisors (779512562).

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

463060000 is a wasteful number, since it uses less digits than its factorization.

463060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 463060000 is about 21518.8289644209. The cubic root of 463060000 is about 773.6521838830.

The spelling of 463060000 in words is "four hundred sixty-three million, sixty thousand".