459968003040 has 576 divisors, whose sum is σ = 1802871447552. Its totient is φ = 96517324800.

The previous prime is 459968003017. The next prime is 459968003059. The reversal of 459968003040 is 40300869954.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108455320 + ... + 108459560.

It is an arithmetic number, because the mean of its divisors is an integer number (3129985152).

Almost surely, 2^459968003040 is an apocalyptic number.

459968003040 is a gapful number since it is divisible by the number (40) 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 459968003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901435723776).

459968003040 is an abundant number, since it is smaller than the sum of its proper divisors (1342903444512).

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

459968003040 is a wasteful number, since it uses less digits than its factorization.

459968003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 459968003040 in words is "four hundred fifty-nine billion, nine hundred sixty-eight million, three thousand, forty".