4646300400 has 480 divisors, whose sum is σ = 19373760000. Its totient is φ = 1035417600.

The previous prime is 4646300387. The next prime is 4646300411. The reversal of 4646300400 is 40036464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3098851 + ... + 3100349.

It is an arithmetic number, because the mean of its divisors is an integer number (40362000).

Almost surely, 2^4646300400 is an apocalyptic number.

4646300400 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 4646300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880000).

4646300400 is an abundant number, since it is smaller than the sum of its proper divisors (14727459600).

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

4646300400 is a wasteful number, since it uses less digits than its factorization.

4646300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4646300400 is about 68163.7763038404. The cubic root of 4646300400 is about 1668.6647627211.

Adding to 4646300400 its reverse (40036464), we get a palindrome (4686336864).

The spelling of 4646300400 in words is "four billion, six hundred forty-six million, three hundred thousand, four hundred".