460420350 has 288 divisors, whose sum is σ = 1406993280. Its totient is φ = 98703360.

The previous prime is 460420321. The next prime is 460420397. The reversal of 460420350 is 53024064.

It is a self number, because there is not a number n which added to its sum of digits gives 460420350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10707429 + ... + 10707471.

Almost surely, 2^460420350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460420350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703496640).

460420350 is an abundant number, since it is smaller than the sum of its proper divisors (946572930).

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

460420350 is a wasteful number, since it uses less digits than its factorization.

460420350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 460420350 is about 21457.4078117558. The cubic root of 460420350 is about 772.1793266912.

The spelling of 460420350 in words is "four hundred sixty million, four hundred twenty thousand, three hundred fifty".