47775420 has 240 divisors, whose sum is σ = 187342848. Its totient is φ = 9901440.

The previous prime is 47775407. The next prime is 47775421. The reversal of 47775420 is 2457774.

It is a happy number.

47775420 is a `hidden beast` number, since 47 + 77 + 542 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47775421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124549 + ... + 124931.

Almost surely, 2^47775420 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 47775420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93671424).

47775420 is an abundant number, since it is smaller than the sum of its proper divisors (139567428).

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

47775420 is a wasteful number, since it uses less digits than its factorization.

47775420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 47775420 is about 6911.9765624603. The cubic root of 47775420 is about 362.8564421068.

It can be divided in two parts, 477754 and 20, that added together give a palindrome (477774).

The spelling of 47775420 in words is "forty-seven million, seven hundred seventy-five thousand, four hundred twenty".