477725040 has 400 divisors, whose sum is σ = 1837569888. Its totient is φ = 114296832.

The previous prime is 477725029. The next prime is 477725047. The reversal of 477725040 is 40527774.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 477724986 and 477725004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477725047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4464667 + ... + 4464773.

Almost surely, 2^477725040 is an apocalyptic number.

477725040 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 477725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918784944).

477725040 is an abundant number, since it is smaller than the sum of its proper divisors (1359844848).

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

477725040 is a wasteful number, since it uses less digits than its factorization.

477725040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

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

The square root of 477725040 is about 21856.9220156910. The cubic root of 477725040 is about 781.7346011901.

The spelling of 477725040 in words is "four hundred seventy-seven million, seven hundred twenty-five thousand, forty".