461454084 has 336 divisors, whose sum is σ = 1563007488. Its totient is φ = 115893504.

The previous prime is 461454073. The next prime is 461454101. The reversal of 461454084 is 480454164.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9818149 + ... + 9818195.

It is an arithmetic number, because the mean of its divisors is an integer number (4651808).

Almost surely, 2^461454084 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 461454084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781503744).

461454084 is an abundant number, since it is smaller than the sum of its proper divisors (1101553404).

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

461454084 is a wasteful number, since it uses less digits than its factorization.

461454084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 461454084 is about 21481.4823510856. The cubic root of 461454084 is about 772.7567927504.

The spelling of 461454084 in words is "four hundred sixty-one million, four hundred fifty-four thousand, eighty-four".