461466300 has 108 divisors (see below), whose sum is σ = 1409477496. Its totient is φ = 116553600.

The previous prime is 461466293. The next prime is 461466307. The reversal of 461466300 is 3664164.

It is an interprime number because it is at equal distance from previous prime (461466293) and next prime (461466307).

It is a super-2 number, since 2×461466300² = 425902292071380000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461466307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106170 + ... + 110430.

Almost surely, 2^461466300 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 461466300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704738748).

461466300 is an abundant number, since it is smaller than the sum of its proper divisors (948011196).

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

461466300 is a wasteful number, since it uses less digits than its factorization.

461466300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 461466300 is about 21481.7666871233. The cubic root of 461466300 is about 772.7636117125.

The spelling of 461466300 in words is "four hundred sixty-one million, four hundred sixty-six thousand, three hundred".