1458456990 has 64 divisors (see below), whose sum is σ = 3567628800. Its totient is φ = 381471104.

The previous prime is 1458456971. The next prime is 1458457001. The reversal of 1458456990 is 996548541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1314556 + ... + 1315664.

It is an arithmetic number, because the mean of its divisors is an integer number (55744200).

Almost surely, 2^1458456990 is an apocalyptic number.

1458456990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1458456990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783814400).

1458456990 is an abundant number, since it is smaller than the sum of its proper divisors (2109171810).

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

1458456990 is a wasteful number, since it uses less digits than its factorization.

1458456990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921.

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 1458456990 is about 38189.7498027939. The cubic root of 1458456990 is about 1134.0474039949.

The spelling of 1458456990 in words is "one billion, four hundred fifty-eight million, four hundred fifty-six thousand, nine hundred ninety".