461679900 has 144 divisors (see below), whose sum is σ = 1504570368. Its totient is φ = 108288000.

The previous prime is 461679893. The next prime is 461679901. The reversal of 461679900 is 9976164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461679901) 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, 100044 + ... + 104556.

Almost surely, 2^461679900 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 461679900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752285184).

461679900 is an abundant number, since it is smaller than the sum of its proper divisors (1042890468).

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

461679900 is a wasteful number, since it uses less digits than its factorization.

461679900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 461679900 is about 21486.7377700758. The cubic root of 461679900 is about 772.8828236292.

It can be divided in two parts, 461 and 679900, that added together give a triangular number (680361 = T₁₁₆₆).

The spelling of 461679900 in words is "four hundred sixty-one million, six hundred seventy-nine thousand, nine hundred".