467248320 has 672 divisors, whose sum is σ = 2092147200. Its totient is φ = 94832640.

The previous prime is 467248307. The next prime is 467248357. The reversal of 467248320 is 23842764.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10866219 + ... + 10866261.

Almost surely, 2^467248320 is an apocalyptic number.

467248320 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 467248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046073600).

467248320 is an abundant number, since it is smaller than the sum of its proper divisors (1624898880).

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

467248320 is a wasteful number, since it uses less digits than its factorization.

467248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 467248320 is about 21615.9274610182. The cubic root of 467248320 is about 775.9777157309.

The spelling of 467248320 in words is "four hundred sixty-seven million, two hundred forty-eight thousand, three hundred twenty".