1464490000 has 50 divisors (see below), whose sum is σ = 3545700950. Its totient is φ = 585792000.

The previous prime is 1464489979. The next prime is 1464490009. The reversal of 1464490000 is 944641.

It can be written as a sum of positive squares in 5 ways, for example, as 415507456 + 1048982544 = 20384^2 + 32388^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464490009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63225 + ... + 83224.

It is an arithmetic number, because the mean of its divisors is an integer number (70914019).

Almost surely, 2^1464490000 is an apocalyptic number.

1464490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1464490000 is an abundant number, since it is smaller than the sum of its proper divisors (2081210950).

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

1464490000 is an equidigital number, since it uses as much as digits as its factorization.

1464490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146477 (or 146456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1464490000 is about 38268.6555812979. The cubic root of 1464490000 is about 1135.6089418038.

The spelling of 1464490000 in words is "one billion, four hundred sixty-four million, four hundred ninety thousand".