467863200 has 216 divisors, whose sum is σ = 1885691808. Its totient is φ = 106928640.

The previous prime is 467863199. The next prime is 467863213. The reversal of 467863200 is 2368764.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45759 + ... + 55041.

Almost surely, 2^467863200 is an apocalyptic number.

467863200 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 467863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942845904).

467863200 is an abundant number, since it is smaller than the sum of its proper divisors (1417828608).

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

467863200 is a wasteful number, since it uses less digits than its factorization.

467863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 467863200 is about 21630.1456305777. The cubic root of 467863200 is about 776.3179516856.

The spelling of 467863200 in words is "four hundred sixty-seven million, eight hundred sixty-three thousand, two hundred".