4634246400 has 648 divisors, whose sum is σ = 18543854784. Its totient is φ = 997785600.

The previous prime is 4634246399. The next prime is 4634246417. The reversal of 4634246400 is 46424364.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 113030380 + ... + 113030420.

Almost surely, 2^4634246400 is an apocalyptic number.

4634246400 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 4634246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271927392).

4634246400 is an abundant number, since it is smaller than the sum of its proper divisors (13909608384).

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

4634246400 is a wasteful number, since it uses less digits than its factorization.

4634246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 4634246400 is about 68075.2994852024. The cubic root of 4634246400 is about 1667.2204950552.

The spelling of 4634246400 in words is "four billion, six hundred thirty-four million, two hundred forty-six thousand, four hundred".