462680064 has 312 divisors, whose sum is σ = 1676468352. Its totient is φ = 119439360.

The previous prime is 462680063. The next prime is 462680081. The reversal of 462680064 is 460086264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462680063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838447 + ... + 2838609.

It is an arithmetic number, because the mean of its divisors is an integer number (5373296).

Almost surely, 2^462680064 is an apocalyptic number.

462680064 is a gapful number since it is divisible by the number (44) 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 462680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838234176).

462680064 is an abundant number, since it is smaller than the sum of its proper divisors (1213788288).

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

462680064 is a wasteful number, since it uses less digits than its factorization.

462680064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 462680064 is about 21509.9991631799. Note that the first 3 decimals coincide. The cubic root of 462680064 is about 773.4405347490.

Adding to 462680064 its sum of digits (36), we get a square (462680100 = 21510²).

The spelling of 462680064 in words is "four hundred sixty-two million, six hundred eighty thousand, sixty-four".