1465672320 has 480 divisors, whose sum is σ = 6099292980. Its totient is φ = 334430208.

The previous prime is 1465672283. The next prime is 1465672361. The reversal of 1465672320 is 232765641.

It can be written as a sum of positive squares in 2 ways, for example, as 1353651264 + 112021056 = 36792^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×1465672320³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2539872 + ... + 2540448.

Almost surely, 2^1465672320 is an apocalyptic number.

1465672320 is a gapful number since it is divisible by the number (10) 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 1465672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049646490).

1465672320 is an abundant number, since it is smaller than the sum of its proper divisors (4633620660).

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

1465672320 is an equidigital number, since it uses as much as digits as its factorization.

1465672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1465672320 is about 38284.1000939032. The cubic root of 1465672320 is about 1135.9144615881.

The spelling of 1465672320 in words is "one billion, four hundred sixty-five million, six hundred seventy-two thousand, three hundred twenty".