462803328900 has 648 divisors, whose sum is σ = 1627076971520. Its totient is φ = 109930867200.

The previous prime is 462803328853. The next prime is 462803328943. The reversal of 462803328900 is 9823308264.

462803328900 is a `hidden beast` number, since 46 + 280 + 3 + 328 + 9 + 0 + 0 = 666.

462803328900 is digitally balanced in base 4 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1507502547 + ... + 1507502853.

Almost surely, 2^462803328900 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 462803328900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813538485760).

462803328900 is an abundant number, since it is smaller than the sum of its proper divisors (1164273642620).

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

462803328900 is a wasteful number, since it uses less digits than its factorization.

462803328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 462803328900 in words is "four hundred sixty-two billion, eight hundred three million, three hundred twenty-eight thousand, nine hundred".