461311200 has 504 divisors, whose sum is σ = 1946781648. Its totient is φ = 104509440.

The previous prime is 461311139. The next prime is 461311223. The reversal of 461311200 is 2113164.

It is a happy number.

461311200 is a `hidden beast` number, since 461 + 3 + 1 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082344 + ... + 4082456.

It is an arithmetic number, because the mean of its divisors is an integer number (3862662).

Almost surely, 2^461311200 is an apocalyptic number.

461311200 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 461311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973390824).

461311200 is an abundant number, since it is smaller than the sum of its proper divisors (1485470448).

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

461311200 is a wasteful number, since it uses less digits than its factorization.

461311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 461311200 is about 21478.1563454594. The cubic root of 461311200 is about 772.6770260711.

Adding to 461311200 its reverse (2113164), we get a palindrome (463424364).

The spelling of 461311200 in words is "four hundred sixty-one million, three hundred eleven thousand, two hundred".