4954316400 has 300 divisors, whose sum is σ = 19398461544. Its totient is φ = 1200960000.

The previous prime is 4954316399. The next prime is 4954316447. The reversal of 4954316400 is 46134594.

4954316400 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 3 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 349450 + ... + 363350.

Almost surely, 2^4954316400 is an apocalyptic number.

4954316400 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 4954316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9699230772).

4954316400 is an abundant number, since it is smaller than the sum of its proper divisors (14444145144).

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

4954316400 is a wasteful number, since it uses less digits than its factorization.

4954316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13922 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4954316400 is about 70386.9050321152. The cubic root of 4954316400 is about 1704.7521476190.

The spelling of 4954316400 in words is "four billion, nine hundred fifty-four million, three hundred sixteen thousand, four hundred".