465484320 has 360 divisors, whose sum is σ = 1913586444. Its totient is φ = 106251264.

The previous prime is 465484303. The next prime is 465484421. The reversal of 465484320 is 23484564.

It can be written as a sum of positive squares in 2 ways, for example, as 437479056 + 28005264 = 20916^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634674 + ... + 635406.

Almost surely, 2^465484320 is an apocalyptic number.

465484320 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 465484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956793222).

465484320 is an abundant number, since it is smaller than the sum of its proper divisors (1448102124).

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

465484320 is a wasteful number, since it uses less digits than its factorization.

465484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 465484320 is about 21575.0856313480. The cubic root of 465484320 is about 774.9999694762. Note that the first 4 decimals are identical.

The spelling of 465484320 in words is "four hundred sixty-five million, four hundred eighty-four thousand, three hundred twenty".