461442300 has 72 divisors (see below), whose sum is σ = 1456490112. Its totient is φ = 111864000.

The previous prime is 461442253. The next prime is 461442301. The reversal of 461442300 is 3244164.

It is a super-3 number, since 3×461442300³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461442301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66616 + ... + 73215.

Almost surely, 2^461442300 is an apocalyptic number.

It is an amenable number.

461442300 is an abundant number, since it is smaller than the sum of its proper divisors (995047812).

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

461442300 is a wasteful number, since it uses less digits than its factorization.

461442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139859 (or 139852 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 461442300 is about 21481.2080665869. The cubic root of 461442300 is about 772.7502148164.

Adding to 461442300 its reverse (3244164), we get a palindrome (464686464).

The spelling of 461442300 in words is "four hundred sixty-one million, four hundred forty-two thousand, three hundred".