464978304 has 288 divisors, whose sum is σ = 1613211600. Its totient is φ = 125908992.

The previous prime is 464978299. The next prime is 464978309. The reversal of 464978304 is 403879464.

It is an interprime number because it is at equal distance from previous prime (464978299) and next prime (464978309).

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

It is a self number, because there is not a number n which added to its sum of digits gives 464978304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464978309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4265802 + ... + 4265910.

Almost surely, 2^464978304 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 464978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806605800).

464978304 is an abundant number, since it is smaller than the sum of its proper divisors (1148233296).

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

464978304 is a wasteful number, since it uses less digits than its factorization.

464978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 464978304 is about 21563.3555830256. The cubic root of 464978304 is about 774.7190401611.

The spelling of 464978304 in words is "four hundred sixty-four million, nine hundred seventy-eight thousand, three hundred four".