477242040 has 128 divisors (see below), whose sum is σ = 1587755520. Its totient is φ = 113779200.

The previous prime is 477242027. The next prime is 477242041. The reversal of 477242040 is 40242774.

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

It is a junction number, because it is equal to n+sod(n) for n = 477241989 and 477242007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477242041) 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 31 ways as a sum of consecutive naturals, for example, 77557 + ... + 83483.

It is an arithmetic number, because the mean of its divisors is an integer number (12404340).

Almost surely, 2^477242040 is an apocalyptic number.

477242040 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 477242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

477242040 is an abundant number, since it is smaller than the sum of its proper divisors (1110513480).

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

477242040 is a wasteful number, since it uses less digits than its factorization.

477242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 477242040 is about 21845.8700902482. The cubic root of 477242040 is about 781.4710568908.

The spelling of 477242040 in words is "four hundred seventy-seven million, two hundred forty-two thousand, forty".