468394650 has 144 divisors (see below), whose sum is σ = 1374391200. Its totient is φ = 118272960.

The previous prime is 468394649. The next prime is 468394651. The reversal of 468394650 is 56493864.

It is an interprime number because it is at equal distance from previous prime (468394649) and next prime (468394651).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 468394596 and 468394605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468394651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229836 + ... + 231864.

Almost surely, 2^468394650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468394650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687195600).

468394650 is an abundant number, since it is smaller than the sum of its proper divisors (905996550).

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

468394650 is a wasteful number, since it uses less digits than its factorization.

468394650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 468394650 is about 21642.4270820072. The cubic root of 468394650 is about 776.6117826305.

The spelling of 468394650 in words is "four hundred sixty-eight million, three hundred ninety-four thousand, six hundred fifty".