461900 has 36 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 177600.

The previous prime is 461891. The next prime is 461917. The reversal of 461900 is 9164.

It is a super-2 number, since 2×461900² = 426703220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3026 + ... + 3174.

2⁴⁶¹⁹⁰⁰ 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 461900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

461900 is an abundant number, since it is smaller than the sum of its proper divisors (579700).

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

461900 is a wasteful number, since it uses less digits than its factorization.

461900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 461900 is about 679.6322535018. The cubic root of 461900 is about 77.3005624791.

The spelling of 461900 in words is "four hundred sixty-one thousand, nine hundred".