467752320 has 320 divisors, whose sum is σ = 1910541600. Its totient is φ = 106831872.

The previous prime is 467752309. The next prime is 467752343. The reversal of 467752320 is 23257764.

It is a happy number.

467752320 is a `hidden beast` number, since 46 + 77 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 362236 + ... + 363524.

Almost surely, 2^467752320 is an apocalyptic number.

467752320 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 467752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955270800).

467752320 is an abundant number, since it is smaller than the sum of its proper divisors (1442789280).

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

467752320 is a wasteful number, since it uses less digits than its factorization.

467752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 467752320 is about 21627.5823891622. The cubic root of 467752320 is about 776.2566197013.

The spelling of 467752320 in words is "four hundred sixty-seven million, seven hundred fifty-two thousand, three hundred twenty".