1464899760 has 240 divisors, whose sum is σ = 5101709184. Its totient is φ = 376455168.

The previous prime is 1464899759. The next prime is 1464899801. The reversal of 1464899760 is 679984641.

1464899760 is a `hidden beast` number, since 14 + 6 + 489 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1464899697 and 1464899706.

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, 2470024 + ... + 2470616.

Almost surely, 2^1464899760 is an apocalyptic number.

1464899760 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 1464899760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550854592).

1464899760 is an abundant number, since it is smaller than the sum of its proper divisors (3636809424).

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

1464899760 is a wasteful number, since it uses less digits than its factorization.

1464899760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1464899760 is about 38274.0089355688. The cubic root of 1464899760 is about 1135.7148452760.

The spelling of 1464899760 in words is "one billion, four hundred sixty-four million, eight hundred ninety-nine thousand, seven hundred sixty".