462513064 has 64 divisors (see below), whose sum is σ = 955281600. Its totient is φ = 208648704.

The previous prime is 462513059. The next prime is 462513089. The reversal of 462513064 is 460315264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990159 + ... + 990625.

It is an arithmetic number, because the mean of its divisors is an integer number (14926275).

Almost surely, 2^462513064 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 462513064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477640800).

462513064 is an abundant number, since it is smaller than the sum of its proper divisors (492768536).

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

462513064 is a wasteful number, since it uses less digits than its factorization.

462513064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 462513064 is about 21506.1168972923. The cubic root of 462513064 is about 773.3474681985.

It can be divided in two parts, 4625 and 13064, that added together give a square (17689 = 133²).

The spelling of 462513064 in words is "four hundred sixty-two million, five hundred thirteen thousand, sixty-four".