1464744960 has 528 divisors, whose sum is σ = 6131174400. Its totient is φ = 315850752.

The previous prime is 1464744913. The next prime is 1464744971. The reversal of 1464744960 is 694474641.

1464744960 is a `hidden beast` number, since 146 + 4 + 7 + 449 + 60 = 666.

It is a super-3 number, since 3×1464744960³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6128521 + ... + 6128759.

Almost surely, 2^1464744960 is an apocalyptic number.

1464744960 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 1464744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065587200).

1464744960 is an abundant number, since it is smaller than the sum of its proper divisors (4666429440).

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

1464744960 is a wasteful number, since it uses less digits than its factorization.

1464744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 1464744960 is about 38271.9866220712. The cubic root of 1464744960 is about 1135.6748391595.

The spelling of 1464744960 in words is "one billion, four hundred sixty-four million, seven hundred forty-four thousand, nine hundred sixty".