4605463200 has 576 divisors, whose sum is σ = 18032595840. Its totient is φ = 1008599040.

The previous prime is 4605463151. The next prime is 4605463207. The reversal of 4605463200 is 23645064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4605463207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10077372 + ... + 10077828.

It is an arithmetic number, because the mean of its divisors is an integer number (31306590).

Almost surely, 2^4605463200 is an apocalyptic number.

4605463200 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 4605463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016297920).

4605463200 is an abundant number, since it is smaller than the sum of its proper divisors (13427132640).

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

4605463200 is a wasteful number, since it uses less digits than its factorization.

4605463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 4605463200 is about 67863.5631248463. The cubic root of 4605463200 is about 1663.7616345260.

The spelling of 4605463200 in words is "four billion, six hundred five million, four hundred sixty-three thousand, two hundred".