1459900640 has 96 divisors (see below), whose sum is σ = 3785854464. Its totient is φ = 527587840.

The previous prime is 1459900627. The next prime is 1459900649. The reversal of 1459900640 is 460099541.

It is a junction number, because it is equal to n+sod(n) for n = 1459900594 and 1459900603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1459900649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291437 + ... + 296403.

It is an arithmetic number, because the mean of its divisors is an integer number (39435984).

Almost surely, 2^1459900640 is an apocalyptic number.

1459900640 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 1459900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892927232).

1459900640 is an abundant number, since it is smaller than the sum of its proper divisors (2325953824).

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

1459900640 is a wasteful number, since it uses less digits than its factorization.

1459900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 1459900640 is about 38208.6461419402. The cubic root of 1459900640 is about 1134.4214585976.

The spelling of 1459900640 in words is "one billion, four hundred fifty-nine million, nine hundred thousand, six hundred forty".