468794400 has 144 divisors (see below), whose sum is σ = 1575399168. Its totient is φ = 120960000.

The previous prime is 468794387. The next prime is 468794401. The reversal of 468794400 is 4497864.

It is not an unprimeable number, because it can be changed into a prime (468794401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71250 + ... + 77550.

It is an arithmetic number, because the mean of its divisors is an integer number (10940272).

Almost surely, 2^468794400 is an apocalyptic number.

468794400 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 468794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787699584).

468794400 is an abundant number, since it is smaller than the sum of its proper divisors (1106604768).

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

468794400 is a wasteful number, since it uses less digits than its factorization.

468794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 468794400 is about 21651.6604444093. The cubic root of 468794400 is about 776.8326521360.

The spelling of 468794400 in words is "four hundred sixty-eight million, seven hundred ninety-four thousand, four hundred".