462976938 has 64 divisors (see below), whose sum is σ = 1069632000. Its totient is φ = 148260672.

The previous prime is 462976937. The next prime is 462976949. The reversal of 462976938 is 839679264.

It is a happy number.

462976938 is a `hidden beast` number, since 4 + 629 + 7 + 6 + 9 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (462976937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373656 + ... + 374892.

It is an arithmetic number, because the mean of its divisors is an integer number (16713000).

Almost surely, 2^462976938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462976938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534816000).

462976938 is an abundant number, since it is smaller than the sum of its proper divisors (606655062).

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

462976938 is a wasteful number, since it uses less digits than its factorization.

462976938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1510 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 462976938 is about 21516.8988936603. The cubic root of 462976938 is about 773.6059228222.

It can be divided in two parts, 46297 and 6938, that added together give a palindrome (53235).

The spelling of 462976938 in words is "four hundred sixty-two million, nine hundred seventy-six thousand, nine hundred thirty-eight".