4807462400 has 240 divisors, whose sum is σ = 12978481824. Its totient is φ = 1754234880.

The previous prime is 4807462381. The next prime is 4807462411. The reversal of 4807462400 is 42647084.

4807462400 = 186² + 187² + ... + 2434².

It is a super-3 number, since 3×4807462400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27788714 + ... + 27788886.

Almost surely, 2^4807462400 is an apocalyptic number.

4807462400 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 4807462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489240912).

4807462400 is an abundant number, since it is smaller than the sum of its proper divisors (8171019424).

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

4807462400 is a wasteful number, since it uses less digits than its factorization.

4807462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 4807462400 is about 69335.8666203863. The cubic root of 4807462400 is about 1687.7390490797.

The spelling of 4807462400 in words is "four billion, eight hundred seven million, four hundred sixty-two thousand, four hundred".