461835000 has 320 divisors, whose sum is σ = 1754438400. Its totient is φ = 111600000.

The previous prime is 461834987. The next prime is 461835001. The reversal of 461835000 is 538164.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461835001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1484845 + ... + 1485155.

It is an arithmetic number, because the mean of its divisors is an integer number (5482620).

Almost surely, 2^461835000 is an apocalyptic number.

461835000 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 461835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877219200).

461835000 is an abundant number, since it is smaller than the sum of its proper divisors (1292603400).

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

461835000 is a wasteful number, since it uses less digits than its factorization.

461835000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 461835000 is about 21490.3466700749. The cubic root of 461835000 is about 772.9693631737.

The spelling of 461835000 in words is "four hundred sixty-one million, eight hundred thirty-five thousand".