47061300 has 144 divisors (see below), whose sum is σ = 160114752. Its totient is φ = 10521600.

The previous prime is 47061283. The next prime is 47061323. The reversal of 47061300 is 316074.

47061300 = T₁₀₇ + T₁₀₈ + ... + T₆₅₆.

It is a nialpdrome in base 13.

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, 42352 + ... + 43448.

It is an arithmetic number, because the mean of its divisors is an integer number (1111908).

Almost surely, 2^47061300 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 47061300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80057376).

47061300 is an abundant number, since it is smaller than the sum of its proper divisors (113053452).

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

47061300 is a wasteful number, since it uses less digits than its factorization.

47061300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 47061300 is about 6860.1239055865. The cubic root of 47061300 is about 361.0394342068.

Adding to 47061300 its reverse (316074), we get a palindrome (47377374).

It can be divided in two parts, 4706 and 1300, that added together give a palindrome (6006).

The spelling of 47061300 in words is "forty-seven million, sixty-one thousand, three hundred".