461738190 has 96 divisors (see below), whose sum is σ = 1239592320. Its totient is φ = 109748736.

The previous prime is 461738183. The next prime is 461738239. The reversal of 461738190 is 91837164.

It is a super-2 number, since 2×461738190² = 426404312208952200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163329 + ... + 166131.

It is an arithmetic number, because the mean of its divisors is an integer number (12912420).

Almost surely, 2^461738190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461738190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619796160).

461738190 is an abundant number, since it is smaller than the sum of its proper divisors (777854130).

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

461738190 is a wasteful number, since it uses less digits than its factorization.

461738190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 461738190 is about 21488.0941453634. The cubic root of 461738190 is about 772.9153493712.

The spelling of 461738190 in words is "four hundred sixty-one million, seven hundred thirty-eight thousand, one hundred ninety".