467999400 has 192 divisors, whose sum is σ = 1652037120. Its totient is φ = 108486400.

The previous prime is 467999369. The next prime is 467999417. The reversal of 467999400 is 4999764.

467999400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 467999400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150259 + ... + 153341.

It is an arithmetic number, because the mean of its divisors is an integer number (8604360).

Almost surely, 2^467999400 is an apocalyptic number.

467999400 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 467999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826018560).

467999400 is an abundant number, since it is smaller than the sum of its proper divisors (1184037720).

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

467999400 is a wasteful number, since it uses less digits than its factorization.

467999400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 467999400 is about 21633.2937852746. The cubic root of 467999400 is about 776.3932758733.

The spelling of 467999400 in words is "four hundred sixty-seven million, nine hundred ninety-nine thousand, four hundred".