1464989760 has 224 divisors, whose sum is σ = 5566135680. Its totient is φ = 360585216.

The previous prime is 1464989759. The next prime is 1464989767. The reversal of 1464989760 is 679894641.

1464989760 is a `hidden beast` number, since 1 + 4 + 6 + 498 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1464989697 and 1464989706.

It is not an unprimeable number, because it can be changed into a prime (1464989767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105799 + ... + 118841.

It is an arithmetic number, because the mean of its divisors is an integer number (24848820).

Almost surely, 2^1464989760 is an apocalyptic number.

1464989760 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 1464989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783067840).

1464989760 is an abundant number, since it is smaller than the sum of its proper divisors (4101145920).

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

1464989760 is a wasteful number, since it uses less digits than its factorization.

1464989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13082 (or 13066 counting only the distinct ones).

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

The square root of 1464989760 is about 38275.1846501098. The cubic root of 1464989760 is about 1135.7381033504.

The spelling of 1464989760 in words is "one billion, four hundred sixty-four million, nine hundred eighty-nine thousand, seven hundred sixty".