461330800 has 240 divisors, whose sum is σ = 1340356672. Its totient is φ = 149299200.

The previous prime is 461330797. The next prime is 461330801. The reversal of 461330800 is 8033164.

It is a super-2 number, since 2×461330800² = 425652214057280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461330801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6319564 + ... + 6319636.

Almost surely, 2^461330800 is an apocalyptic number.

461330800 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 461330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670178336).

461330800 is an abundant number, since it is smaller than the sum of its proper divisors (879025872).

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

461330800 is a wasteful number, since it uses less digits than its factorization.

461330800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 461330800 is about 21478.6126181371. The cubic root of 461330800 is about 772.6879689771.

Adding to 461330800 its reverse (8033164), we get a palindrome (469363964).

The spelling of 461330800 in words is "four hundred sixty-one million, three hundred thirty thousand, eight hundred".