47825400 has 192 divisors, whose sum is σ = 173203200. Its totient is φ = 10690560.

The previous prime is 47825389. The next prime is 47825429. The reversal of 47825400 is 452874.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 247704 + ... + 247896.

It is an arithmetic number, because the mean of its divisors is an integer number (902100).

Almost surely, 2^47825400 is an apocalyptic number.

47825400 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 47825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86601600).

47825400 is an abundant number, since it is smaller than the sum of its proper divisors (125377800).

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

47825400 is a wasteful number, since it uses less digits than its factorization.

47825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 47825400 is about 6915.5910810284. The cubic root of 47825400 is about 362.9829314501.

It can be divided in two parts, 478 and 25400, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 47825400 in words is "forty-seven million, eight hundred twenty-five thousand, four hundred".