47965500 has 384 divisors, whose sum is σ = 188697600. Its totient is φ = 10368000.

The previous prime is 47965499. The next prime is 47965537. The reversal of 47965500 is 556974.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2524491 + ... + 2524509.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^47965500 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 47965500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

47965500 is an abundant number, since it is smaller than the sum of its proper divisors (140732100).

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

47965500 is a wasteful number, since it uses less digits than its factorization.

47965500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 47965500 is about 6925.7129596887. The cubic root of 47965500 is about 363.3370273357.

It can be divided in two parts, 4796 and 5500, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 47965500 in words is "forty-seven million, nine hundred sixty-five thousand, five hundred".