467659920 has 640 divisors, whose sum is σ = 1999872000. Its totient is φ = 89413632.

The previous prime is 467659903. The next prime is 467659921. The reversal of 467659920 is 29956764.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 467659920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467659921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20333029 + ... + 20333051.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^467659920 is an apocalyptic number.

467659920 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 467659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

467659920 is an abundant number, since it is smaller than the sum of its proper divisors (1532212080).

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

467659920 is a wasteful number, since it uses less digits than its factorization.

467659920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 467659920 is about 21625.4461225659. The cubic root of 467659920 is about 776.2055023100.

The spelling of 467659920 in words is "four hundred sixty-seven million, six hundred fifty-nine thousand, nine hundred twenty".