467330400 has 216 divisors, whose sum is σ = 1684204704. Its totient is φ = 121881600.

The previous prime is 467330377. The next prime is 467330401. The reversal of 467330400 is 4033764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467330401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337710 + ... + 339090.

It is an arithmetic number, because the mean of its divisors is an integer number (7797244).

Almost surely, 2^467330400 is an apocalyptic number.

467330400 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 467330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842102352).

467330400 is an abundant number, since it is smaller than the sum of its proper divisors (1216874304).

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

467330400 is a wasteful number, since it uses less digits than its factorization.

467330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 467330400 is about 21617.8259776509. The cubic root of 467330400 is about 776.0231509018.

The spelling of 467330400 in words is "four hundred sixty-seven million, three hundred thirty thousand, four hundred".