461611700 has 72 divisors (see below), whose sum is σ = 1128094464. Its totient is φ = 162432000.

The previous prime is 461611699. The next prime is 461611723. The reversal of 461611700 is 7116164.

It is a self number, because there is not a number n which added to its sum of digits gives 461611700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27332 + ... + 40868.

Almost surely, 2^461611700 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 461611700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564047232).

461611700 is an abundant number, since it is smaller than the sum of its proper divisors (666482764).

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

461611700 is a wasteful number, since it uses less digits than its factorization.

461611700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13593 (or 13586 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 461611700 is about 21485.1506859971. The cubic root of 461611700 is about 772.8447646449.

Adding to 461611700 its reverse (7116164), we get a palindrome (468727864).

The spelling of 461611700 in words is "four hundred sixty-one million, six hundred eleven thousand, seven hundred".