467753020 has 72 divisors (see below), whose sum is σ = 1202841360. Its totient is φ = 151925760.

The previous prime is 467752979. The next prime is 467753021. The reversal of 467753020 is 20357764.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467753021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6060 + ... + 31180.

It is an arithmetic number, because the mean of its divisors is an integer number (16706130).

Almost surely, 2^467753020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467753020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601420680).

467753020 is an abundant number, since it is smaller than the sum of its proper divisors (735088340).

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

467753020 is a wasteful number, since it uses less digits than its factorization.

467753020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25163 (or 25154 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 467753020 is about 21627.5985721947. The cubic root of 467753020 is about 776.2570069286.

The spelling of 467753020 in words is "four hundred sixty-seven million, seven hundred fifty-three thousand, twenty".