477246560 has 192 divisors, whose sum is σ = 1392007680. Its totient is φ = 150958080.

The previous prime is 477246557. The next prime is 477246563. The reversal of 477246560 is 65642774.

It is an interprime number because it is at equal distance from previous prime (477246557) and next prime (477246563).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477246563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872207 + ... + 872753.

It is an arithmetic number, because the mean of its divisors is an integer number (7250040).

Almost surely, 2^477246560 is an apocalyptic number.

477246560 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 477246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696003840).

477246560 is an abundant number, since it is smaller than the sum of its proper divisors (914761120).

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

477246560 is a wasteful number, since it uses less digits than its factorization.

477246560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 477246560 is about 21845.9735420512. The cubic root of 477246560 is about 781.4735240093.

The spelling of 477246560 in words is "four hundred seventy-seven million, two hundred forty-six thousand, five hundred sixty".