4716545400 has 576 divisors, whose sum is σ = 18994260480. Its totient is φ = 1026432000.

The previous prime is 4716545357. The next prime is 4716545417. The reversal of 4716545400 is 45456174.

4716545400 is a `hidden beast` number, since 4 + 71 + 6 + 545 + 40 + 0 = 666.

It is a super-2 number, since 2×4716545400² = 44491601020522320000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31235325 + ... + 31235475.

Almost surely, 2^4716545400 is an apocalyptic number.

4716545400 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 4716545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9497130240).

4716545400 is an abundant number, since it is smaller than the sum of its proper divisors (14277715080).

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

4716545400 is a wasteful number, since it uses less digits than its factorization.

4716545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4716545400 is about 68677.1097236918. The cubic root of 4716545400 is about 1677.0319618675.

The spelling of 4716545400 in words is "four billion, seven hundred sixteen million, five hundred forty-five thousand, four hundred".