1465740864 has 336 divisors, whose sum is σ = 5163799680. Its totient is φ = 389256192.

The previous prime is 1465740847. The next prime is 1465740869. The reversal of 1465740864 is 4680475641.

1465740864 is a `hidden beast` number, since 14 + 6 + 574 + 0 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1465740869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27655462 + ... + 27655514.

Almost surely, 2^1465740864 is an apocalyptic number.

1465740864 is a gapful number since it is divisible by the number (14) 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 1465740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581899840).

1465740864 is an abundant number, since it is smaller than the sum of its proper divisors (3698058816).

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

1465740864 is an equidigital number, since it uses as much as digits as its factorization.

1465740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1465740864 is about 38284.9952853595. The cubic root of 1465740864 is about 1135.9321687991.

The spelling of 1465740864 in words is "one billion, four hundred sixty-five million, seven hundred forty thousand, eight hundred sixty-four".