1459916040 has 64 divisors (see below), whose sum is σ = 4777911360. Its totient is φ = 353918720.

The previous prime is 1459916023. The next prime is 1459916041. The reversal of 1459916040 is 406199541.

It is a self number, because there is not a number n which added to its sum of digits gives 1459916040.

It is not an unprimeable number, because it can be changed into a prime (1459916041) 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, 551679 + ... + 554318.

It is an arithmetic number, because the mean of its divisors is an integer number (74654865).

Almost surely, 2^1459916040 is an apocalyptic number.

1459916040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1459916040 is an abundant number, since it is smaller than the sum of its proper divisors (3317995320).

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

1459916040 is a wasteful number, since it uses less digits than its factorization.

1459916040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106022 (or 1106018 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1459916040 is about 38208.8476664764. The cubic root of 1459916040 is about 1134.4254474601.

The spelling of 1459916040 in words is "one billion, four hundred fifty-nine million, nine hundred sixteen thousand, forty".