4576320450 has 192 divisors, whose sum is σ = 13712872320. Its totient is φ = 1115493120.

The previous prime is 4576320439. The next prime is 4576320461. The reversal of 4576320450 is 540236754.

4576320450 is a `hidden beast` number, since 4 + 576 + 32 + 0 + 4 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (4576320439) and next prime (4576320461).

It is a super-2 number, since 2×4576320450² = 41885417722176405000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1876632 + ... + 1879068.

It is an arithmetic number, because the mean of its divisors is an integer number (71421210).

Almost surely, 2^4576320450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4576320450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856436160).

4576320450 is an abundant number, since it is smaller than the sum of its proper divisors (9136551870).

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

4576320450 is a wasteful number, since it uses less digits than its factorization.

4576320450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4576320450 is about 67648.5066354018. The cubic root of 4576320450 is about 1660.2448530773.

The spelling of 4576320450 in words is "four billion, five hundred seventy-six million, three hundred twenty thousand, four hundred fifty".