464100372400 has 480 divisors, whose sum is σ = 1325165184000. Its totient is φ = 152934912000.

The previous prime is 464100372389. The next prime is 464100372409. The reversal of 464100372400 is 4273001464.

It is not an unprimeable number, because it can be changed into a prime (464100372409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3073512325 + ... + 3073512475.

It is an arithmetic number, because the mean of its divisors is an integer number (2760760800).

Almost surely, 2^464100372400 is an apocalyptic number.

464100372400 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 464100372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662582592000).

464100372400 is an abundant number, since it is smaller than the sum of its proper divisors (861064811600).

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

464100372400 is a wasteful number, since it uses less digits than its factorization.

464100372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 464100372400 its reverse (4273001464), we get a palindrome (468373373864).

The spelling of 464100372400 in words is "four hundred sixty-four billion, one hundred million, three hundred seventy-two thousand, four hundred".