461644092 has 216 divisors, whose sum is σ = 1500578352. Its totient is φ = 118540800.

The previous prime is 461644067. The next prime is 461644093. The reversal of 461644092 is 290446164.

461644092 is a `hidden beast` number, since 4 + 6 + 1 + 644 + 0 + 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 (461644093) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 939967 + ... + 940457.

It is an arithmetic number, because the mean of its divisors is an integer number (6947122).

Almost surely, 2^461644092 is an apocalyptic number.

461644092 is a gapful number since it is divisible by the number (42) 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 461644092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750289176).

461644092 is an abundant number, since it is smaller than the sum of its proper divisors (1038934260).

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

461644092 is a wasteful number, since it uses less digits than its factorization.

461644092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 461644092 is about 21485.9044957386. The cubic root of 461644092 is about 772.8628414557.

The spelling of 461644092 in words is "four hundred sixty-one million, six hundred forty-four thousand, ninety-two".