462481800948 has 288 divisors, whose sum is σ = 1237195814400. Its totient is φ = 145548748800.

The previous prime is 462481800943. The next prime is 462481800973. The reversal of 462481800948 is 849008184264.

It is a happy number.

462481800948 is a `hidden beast` number, since 4 + 624 + 8 + 1 + 8 + 0 + 0 + 9 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 462481800894 and 462481800903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462481800943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1645842568 + ... + 1645842848.

It is an arithmetic number, because the mean of its divisors is an integer number (4295818800).

Almost surely, 2^462481800948 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 462481800948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618597907200).

462481800948 is an abundant number, since it is smaller than the sum of its proper divisors (774714013452).

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

462481800948 is a wasteful number, since it uses less digits than its factorization.

462481800948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 462481800948 in words is "four hundred sixty-two billion, four hundred eighty-one million, eight hundred thousand, nine hundred forty-eight".