464760720 has 160 divisors (see below), whose sum is σ = 1617158400. Its totient is φ = 122674176.

The previous prime is 464760683. The next prime is 464760721. The reversal of 464760720 is 27067464.

464760720 is a `hidden beast` number, since 4 + 6 + 47 + 607 + 2 + 0 = 666.

It is a super-3 number, since 3×464760720³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (464760721) 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, 221436 + ... + 223524.

It is an arithmetic number, because the mean of its divisors is an integer number (10107240).

Almost surely, 2^464760720 is an apocalyptic number.

464760720 is a gapful number since it is divisible by the number (40) 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 464760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808579200).

464760720 is an abundant number, since it is smaller than the sum of its proper divisors (1152397680).

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

464760720 is a wasteful number, since it uses less digits than its factorization.

464760720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 464760720 is about 21558.3097667698. The cubic root of 464760720 is about 774.5981794914.

The spelling of 464760720 in words is "four hundred sixty-four million, seven hundred sixty thousand, seven hundred twenty".