459968950 has 48 divisors (see below), whose sum is σ = 1020291840. Its totient is φ = 150844320.

The previous prime is 459968923. The next prime is 459968953. The reversal of 459968950 is 59869954.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 459968891 and 459968900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459968953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20520 + ... + 36619.

It is an arithmetic number, because the mean of its divisors is an integer number (21256080).

Almost surely, 2^459968950 is an apocalyptic number.

459968950 is an abundant number, since it is smaller than the sum of its proper divisors (560322890).

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

459968950 is a wasteful number, since it uses less digits than its factorization.

459968950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57181 (or 57176 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The square root of 459968950 is about 21446.8867204543. The cubic root of 459968950 is about 771.9268937994.

It can be divided in two parts, 45996 and 8950, that added together give a triangular number (54946 = T₃₃₁).

The spelling of 459968950 in words is "four hundred fifty-nine million, nine hundred sixty-eight thousand, nine hundred fifty".