461800920 has 256 divisors, whose sum is σ = 1703255040. Its totient is φ = 97763328.

The previous prime is 461800891. The next prime is 461800931. The reversal of 461800920 is 29008164.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042219 + ... + 1042661.

It is an arithmetic number, because the mean of its divisors is an integer number (6653340).

Almost surely, 2^461800920 is an apocalyptic number.

461800920 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 461800920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851627520).

461800920 is an abundant number, since it is smaller than the sum of its proper divisors (1241454120).

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

461800920 is a wasteful number, since it uses less digits than its factorization.

461800920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 461800920 is about 21489.5537412949. The cubic root of 461800920 is about 772.9503495693.

The spelling of 461800920 in words is "four hundred sixty-one million, eight hundred thousand, nine hundred twenty".