1464745984 has 135 divisors (see below), whose sum is σ = 3315987633. Its totient is φ = 646643712.

The previous prime is 1464745963. The next prime is 1464746029. The reversal of 1464745984 is 4895474641.

It is a happy number.

The square root of 1464745984 is 38272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 216678400 + 1248067584 = 14720^2 + 35328^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63684597 + ... + 63684619.

Almost surely, 2^1464745984 is an apocalyptic number.

1464745984 is the 38272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464745984

1464745984 is an abundant number, since it is smaller than the sum of its proper divisors (1851241649).

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

1464745984 is an frugal number, since it uses more digits than its factorization.

1464745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 38 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The cubic root of 1464745984 is about 1135.6751038087.

The spelling of 1464745984 in words is "one billion, four hundred sixty-four million, seven hundred forty-five thousand, nine hundred eighty-four".