4657298400 has 216 divisors, whose sum is σ = 16522145640. Its totient is φ = 1234437120.

The previous prime is 4657298389. The next prime is 4657298431. The reversal of 4657298400 is 48927564.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1243731 + ... + 1247469.

It is an arithmetic number, because the mean of its divisors is an integer number (76491415).

Almost surely, 2^4657298400 is an apocalyptic number.

4657298400 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 4657298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261072820).

4657298400 is an abundant number, since it is smaller than the sum of its proper divisors (11864847240).

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

4657298400 is a wasteful number, since it uses less digits than its factorization.

4657298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4657298400 is about 68244.4019682201. The cubic root of 4657298400 is about 1669.9803265398.

The spelling of 4657298400 in words is "four billion, six hundred fifty-seven million, two hundred ninety-eight thousand, four hundred".