47720400 has 480 divisors, whose sum is σ = 206653440. Its totient is φ = 9123840.

The previous prime is 47720363. The next prime is 47720401. The reversal of 47720400 is 402774.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47720401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074789 + ... + 2074811.

It is an arithmetic number, because the mean of its divisors is an integer number (430528).

Almost surely, 2^47720400 is an apocalyptic number.

47720400 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 47720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103326720).

47720400 is an abundant number, since it is smaller than the sum of its proper divisors (158933040).

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

47720400 is a wasteful number, since it uses less digits than its factorization.

47720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 47720400 is about 6907.9953676881. The cubic root of 47720400 is about 362.7170954842.

The spelling of 47720400 in words is "forty-seven million, seven hundred twenty thousand, four hundred".