467485920 has 216 divisors, whose sum is σ = 1754160408. Its totient is φ = 113287680.

The previous prime is 467485901. The next prime is 467485927. The reversal of 467485920 is 29584764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467485927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172899 + ... + 175581.

It is an arithmetic number, because the mean of its divisors is an integer number (8121113).

Almost surely, 2^467485920 is an apocalyptic number.

467485920 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 467485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877080204).

467485920 is an abundant number, since it is smaller than the sum of its proper divisors (1286674488).

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

467485920 is a wasteful number, since it uses less digits than its factorization.

467485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 467485920 is about 21621.4227098958. The cubic root of 467485920 is about 776.1092240065.

The spelling of 467485920 in words is "four hundred sixty-seven million, four hundred eighty-five thousand, nine hundred twenty".