4657793400 has 288 divisors, whose sum is σ = 17391803520. Its totient is φ = 1109376000.

The previous prime is 4657793381. The next prime is 4657793401. The reversal of 4657793400 is 43977564.

4657793400 is a `hidden beast` number, since 46 + 577 + 9 + 34 + 0 + 0 = 666.

It is a super-3 number, since 3×4657793400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657793401) by changing a digit.

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, 722190 + ... + 728610.

Almost surely, 2^4657793400 is an apocalyptic number.

4657793400 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 4657793400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695901760).

4657793400 is an abundant number, since it is smaller than the sum of its proper divisors (12734010120).

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

4657793400 is a wasteful number, since it uses less digits than its factorization.

4657793400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4657793400 is about 68248.0285429550. The cubic root of 4657793400 is about 1670.0394889487.

The spelling of 4657793400 in words is "four billion, six hundred fifty-seven million, seven hundred ninety-three thousand, four hundred".