461221852 has 96 divisors (see below), whose sum is σ = 1049932800. Its totient is φ = 172288512.

The previous prime is 461221843. The next prime is 461221861. The reversal of 461221852 is 258122164.

It is an interprime number because it is at equal distance from previous prime (461221843) and next prime (461221861).

It is a super-3 number, since 3×461221852³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744799 + ... + 745417.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 2^461221852 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 461221852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

461221852 is an abundant number, since it is smaller than the sum of its proper divisors (588710948).

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

461221852 is a wasteful number, since it uses less digits than its factorization.

461221852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 461221852 is about 21476.0762710510. The cubic root of 461221852 is about 772.6271381253.

It can be divided in two parts, 46122 and 1852, that added together give a palindrome (47974).

The spelling of 461221852 in words is "four hundred sixty-one million, two hundred twenty-one thousand, eight hundred fifty-two".