1458990000 has 600 divisors, whose sum is σ = 5816450640. Its totient is φ = 338688000.

The previous prime is 1458989999. The next prime is 1458990007. The reversal of 1458990000 is 998541.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1458990007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33929979 + ... + 33930021.

Almost surely, 2^1458990000 is an apocalyptic number.

1458990000 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 1458990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908225320).

1458990000 is an abundant number, since it is smaller than the sum of its proper divisors (4357460640).

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

1458990000 is a wasteful number, since it uses less digits than its factorization.

1458990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1458990000 is about 38196.7276085269. The cubic root of 1458990000 is about 1134.1855374219.

The spelling of 1458990000 in words is "one billion, four hundred fifty-eight million, nine hundred ninety thousand".