461419092 has 84 divisors (see below), whose sum is σ = 1226608320. Its totient is φ = 151783632.

The previous prime is 461419081. The next prime is 461419099. The reversal of 461419092 is 290914164.

It is a happy number.

461419092 is a `hidden beast` number, since 461 + 4 + 190 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461419099) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 229363 + ... + 231365.

It is an arithmetic number, because the mean of its divisors is an integer number (14602480).

Almost surely, 2^461419092 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 461419092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613304160).

461419092 is an abundant number, since it is smaller than the sum of its proper divisors (765189228).

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

461419092 is a wasteful number, since it uses less digits than its factorization.

461419092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 461419092 is about 21480.6678667122. The cubic root of 461419092 is about 772.7372595761.

The spelling of 461419092 in words is "four hundred sixty-one million, four hundred nineteen thousand, ninety-two".