461770500 has 96 divisors (see below), whose sum is σ = 1361243520. Its totient is φ = 121622400.

The previous prime is 461770483. The next prime is 461770523. The reversal of 461770500 is 5077164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122646 + ... + 126354.

It is an arithmetic number, because the mean of its divisors is an integer number (14179620).

Almost surely, 2^461770500 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 461770500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680621760).

461770500 is an abundant number, since it is smaller than the sum of its proper divisors (899473020).

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

461770500 is a wasteful number, since it uses less digits than its factorization.

461770500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 461770500 is about 21488.8459438845. The cubic root of 461770500 is about 772.9333771288.

The spelling of 461770500 in words is "four hundred sixty-one million, seven hundred seventy thousand, five hundred".