1458000000 has 392 divisors, whose sum is σ = 5443582665. Its totient is φ = 388800000.

The previous prime is 1457999989. The next prime is 1458000079. The reversal of 1458000000 is 8541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 248629824 + 1209370176 = 15768^2 + 34776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=27000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

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 48 ways as a sum of consecutive naturals, for example, 291599998 + ... + 291600002.

Almost surely, 2^1458000000 is an apocalyptic number.

1458000000 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 1458000000

1458000000 is an abundant number, since it is smaller than the sum of its proper divisors (3985582665).

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

1458000000 is an frugal number, since it uses more digits than its factorization.

1458000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1458000000 is about 38183.7661840736. The cubic root of 1458000000 is about 1133.9289449054.

Multiplying 1458000000 by its sum of digits (18), we get a square (26244000000 = 162000²).

1458000000 divided by its sum of digits (18) gives a square (81000000 = 9000²).

Adding to 1458000000 its reverse (8541), we get a palindrome (1458008541).

The spelling of 1458000000 in words is "one billion, four hundred fifty-eight million", and thus it is an aban number.