52461900 has 108 divisors (see below), whose sum is σ = 166958064. Its totient is φ = 13776000.

The previous prime is 52461887. The next prime is 52461901. The reversal of 52461900 is 916425.

It is a super-2 number, since 2×52461900² = 5504501903220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52461901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63490 + ... + 64310.

It is an arithmetic number, because the mean of its divisors is an integer number (1545908).

Almost surely, 2^52461900 is an apocalyptic number.

52461900 is a gapful number since it is divisible by the number (50) 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 52461900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83479032).

52461900 is an abundant number, since it is smaller than the sum of its proper divisors (114496164).

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

52461900 is a wasteful number, since it uses less digits than its factorization.

52461900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 52461900 is about 7243.0587461376. The cubic root of 52461900 is about 374.3530177458.

It can be divided in two parts, 52461 and 900, that added together give a square (53361 = 231²).

The spelling of 52461900 in words is "fifty-two million, four hundred sixty-one thousand, nine hundred".