1465249968 has 240 divisors, whose sum is σ = 5211222016. Its totient is φ = 373870080.

The previous prime is 1465249963. The next prime is 1465249991. The reversal of 1465249968 is 8699425641.

1465249968 is a `hidden beast` number, since 1 + 46 + 52 + 499 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (1465249963) 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, 404421 + ... + 408027.

Almost surely, 2^1465249968 is an apocalyptic number.

1465249968 is a gapful number since it is divisible by the number (18) 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 1465249968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605611008).

1465249968 is an abundant number, since it is smaller than the sum of its proper divisors (3745972048).

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

1465249968 is a wasteful number, since it uses less digits than its factorization.

1465249968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3663 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1465249968 is about 38278.5836728581. The cubic root of 1465249968 is about 1135.8053417373.

It can be divided in two parts, 14652 and 49968, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 1465249968 in words is "one billion, four hundred sixty-five million, two hundred forty-nine thousand, nine hundred sixty-eight".