464680224 has 288 divisors, whose sum is σ = 1485993600. Its totient is φ = 137195520.

The previous prime is 464680213. The next prime is 464680243. The reversal of 464680224 is 422086464.

It is a happy number.

464680224 is a `hidden beast` number, since 4 + 646 + 8 + 0 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 7875907 + ... + 7875965.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^464680224 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 464680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

464680224 is an abundant number, since it is smaller than the sum of its proper divisors (1021313376).

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

464680224 is a wasteful number, since it uses less digits than its factorization.

464680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 464680224 is about 21556.4427492107. The cubic root of 464680224 is about 774.5534570837.

It can be divided in two parts, 46 and 4680224, that added together give a triangular number (4680270 = T₃₀₅₉).

The spelling of 464680224 in words is "four hundred sixty-four million, six hundred eighty thousand, two hundred twenty-four".