467321400 has 480 divisors, whose sum is σ = 2003934240. Its totient is φ = 98288640.

The previous prime is 467321389. The next prime is 467321401. The reversal of 467321400 is 4123764.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467321401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1474042 + ... + 1474358.

It is an arithmetic number, because the mean of its divisors is an integer number (4174863).

Almost surely, 2^467321400 is an apocalyptic number.

467321400 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 467321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001967120).

467321400 is an abundant number, since it is smaller than the sum of its proper divisors (1536612840).

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

467321400 is a wasteful number, since it uses less digits than its factorization.

467321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 467321400 is about 21617.6178151063. The cubic root of 467321400 is about 776.0181692348.

The spelling of 467321400 in words is "four hundred sixty-seven million, three hundred twenty-one thousand, four hundred".