202461252 has 48 divisors (see below), whose sum is σ = 542502912. Its totient is φ = 57566880.

The previous prime is 202461199. The next prime is 202461263. The reversal of 202461252 is 252164202.

It is a happy number.

It is a super-2 number, since 2×202461252² = 81981117122815008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12013 + ... + 23435.

It is an arithmetic number, because the mean of its divisors is an integer number (11302144).

Almost surely, 2^202461252 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 202461252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271251456).

202461252 is an abundant number, since it is smaller than the sum of its proper divisors (340041660).

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

202461252 is a wasteful number, since it uses less digits than its factorization.

202461252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11648 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 202461252 is about 14228.8879396810. The cubic root of 202461252 is about 587.1926886524.

The spelling of 202461252 in words is "two hundred two million, four hundred sixty-one thousand, two hundred fifty-two".