1459408104 has 240 divisors, whose sum is σ = 5136885600. Its totient is φ = 378924480.

The previous prime is 1459408039. The next prime is 1459408109. The reversal of 1459408104 is 4018049541.

1459408104 is a `hidden beast` number, since 145 + 9 + 408 + 104 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1459408109) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547527 + ... + 550185.

It is an arithmetic number, because the mean of its divisors is an integer number (21403690).

Almost surely, 2^1459408104 is an apocalyptic number.

1459408104 is a gapful number since it is divisible by the number (14) 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 1459408104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568442800).

1459408104 is an abundant number, since it is smaller than the sum of its proper divisors (3677477496).

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

1459408104 is a wasteful number, since it uses less digits than its factorization.

1459408104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1459408104 is about 38202.2002507709. The cubic root of 1459408104 is about 1134.2938685777.

The spelling of 1459408104 in words is "one billion, four hundred fifty-nine million, four hundred eight thousand, one hundred four".