477775872 has 324 divisors, whose sum is σ = 1678020435. Its totient is φ = 130572288.

The previous prime is 477775847. The next prime is 477775873. The reversal of 477775872 is 278577774.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 238887936 + 238887936 = 15456^2 + 15456^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15456.

Its product of digits (5378240) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (477775873) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20772853 + ... + 20772875.

Almost surely, 2^477775872 is an apocalyptic number.

477775872 is a gapful number since it is divisible by the number (42) 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 477775872

477775872 is an abundant number, since it is smaller than the sum of its proper divisors (1200244563).

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

477775872 is a wasteful number, since it uses less digits than its factorization.

477775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its digits is 5378240, while the sum is 54.

The square root of 477775872 is about 21858.0848200386. The cubic root of 477775872 is about 781.7623268486.

The spelling of 477775872 in words is "four hundred seventy-seven million, seven hundred seventy-five thousand, eight hundred seventy-two".