464664060 has 288 divisors, whose sum is σ = 1782285120. Its totient is φ = 99864576.

The previous prime is 464664059. The next prime is 464664103. The reversal of 464664060 is 60466464.

It is a happy number.

464664060 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 640 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449304 + ... + 450336.

It is an arithmetic number, because the mean of its divisors is an integer number (6188490).

Almost surely, 2^464664060 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 464664060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891142560).

464664060 is an abundant number, since it is smaller than the sum of its proper divisors (1317621060).

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

464664060 is a wasteful number, since it uses less digits than its factorization.

464664060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 464664060 is about 21556.0678232371. The cubic root of 464664060 is about 774.5444759776.

The spelling of 464664060 in words is "four hundred sixty-four million, six hundred sixty-four thousand, sixty".