47530400 has 144 divisors (see below), whose sum is σ = 126554400. Its totient is φ = 17372160.

The previous prime is 47530393. The next prime is 47530411. The reversal of 47530400 is 403574.

It is a super-3 number, since 3×47530400³ (a number of 24 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 23 ways as a sum of consecutive naturals, for example, 805571 + ... + 805629.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 2^47530400 is an apocalyptic number.

47530400 is a gapful number since it is divisible by the number (40) 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 47530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277200).

47530400 is an abundant number, since it is smaller than the sum of its proper divisors (79024000).

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

47530400 is a wasteful number, since it uses less digits than its factorization.

47530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 47530400 is about 6894.2294710867. The cubic root of 47530400 is about 362.2350660311.

Adding to 47530400 its reverse (403574), we get a palindrome (47933974).

It can be divided in two parts, 475 and 30400, that multiplied together give a square (14440000 = 3800²).

The spelling of 47530400 in words is "forty-seven million, five hundred thirty thousand, four hundred".