467228160 has 240 divisors, whose sum is σ = 1849944096. Its totient is φ = 106758144.

The previous prime is 467228147. The next prime is 467228207. The reversal of 467228160 is 61822764.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 159832 + ... + 162728.

Almost surely, 2^467228160 is an apocalyptic number.

467228160 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 467228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924972048).

467228160 is an abundant number, since it is smaller than the sum of its proper divisors (1382715936).

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

467228160 is a wasteful number, since it uses less digits than its factorization.

467228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 467228160 is about 21615.4611331796. The cubic root of 467228160 is about 775.9665554013.

The spelling of 467228160 in words is "four hundred sixty-seven million, two hundred twenty-eight thousand, one hundred sixty".