467728800 has 288 divisors, whose sum is σ = 1898878464. Its totient is φ = 97152000.

The previous prime is 467728783. The next prime is 467728801. The reversal of 467728800 is 8827764.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (467728801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183535 + ... + 186065.

It is an arithmetic number, because the mean of its divisors is an integer number (6593328).

Almost surely, 2^467728800 is an apocalyptic number.

467728800 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 467728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949439232).

467728800 is an abundant number, since it is smaller than the sum of its proper divisors (1431149664).

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

467728800 is a wasteful number, since it uses less digits than its factorization.

467728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 467728800 is about 21627.0386322307. The cubic root of 467728800 is about 776.2436086404.

The spelling of 467728800 in words is "four hundred sixty-seven million, seven hundred twenty-eight thousand, eight hundred".