461304000 has 336 divisors, whose sum is σ = 1699869600. Its totient is φ = 119347200.

The previous prime is 461303987. The next prime is 461304007. The reversal of 461304000 is 403164.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (461304007) 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, 3095926 + ... + 3096074.

Almost surely, 2^461304000 is an apocalyptic number.

461304000 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 461304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849934800).

461304000 is an abundant number, since it is smaller than the sum of its proper divisors (1238565600).

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

461304000 is a wasteful number, since it uses less digits than its factorization.

461304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 461304000 is about 21477.9887326537. The cubic root of 461304000 is about 772.6730061503.

Adding to 461304000 its reverse (403164), we get a palindrome (461707164).

The spelling of 461304000 in words is "four hundred sixty-one million, three hundred four thousand".