1465095216 has 320 divisors, whose sum is σ = 4559708160. Its totient is φ = 401448960.

The previous prime is 1465095199. The next prime is 1465095227. The reversal of 1465095216 is 6125905641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16461700 + ... + 16461788.

It is an arithmetic number, because the mean of its divisors is an integer number (14249088).

Almost surely, 2^1465095216 is an apocalyptic number.

1465095216 is a gapful number since it is divisible by the number (16) 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 1465095216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279854080).

1465095216 is an abundant number, since it is smaller than the sum of its proper divisors (3094612944).

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

1465095216 is a wasteful number, since it uses less digits than its factorization.

1465095216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1465095216 is about 38276.5622280789. The cubic root of 1465095216 is about 1135.7653543995.

The spelling of 1465095216 in words is "one billion, four hundred sixty-five million, ninety-five thousand, two hundred sixteen".