462778030260 has 864 divisors, whose sum is σ = 1782856857600. Its totient is φ = 95113294848.

The previous prime is 462778030259. The next prime is 462778030279. The reversal of 462778030260 is 62030877264.

462778030260 is a `hidden beast` number, since 46 + 277 + 80 + 3 + 0 + 260 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2325517641 + ... + 2325517839.

Almost surely, 2^462778030260 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 462778030260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891428428800).

462778030260 is an abundant number, since it is smaller than the sum of its proper divisors (1320078827340).

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

462778030260 is a wasteful number, since it uses less digits than its factorization.

462778030260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 462778030260 in words is "four hundred sixty-two billion, seven hundred seventy-eight million, thirty thousand, two hundred sixty".