477781560 has 96 divisors (see below), whose sum is σ = 1557167040. Its totient is φ = 127049472.

The previous prime is 477781559. The next prime is 477781561. The reversal of 477781560 is 65187774.

477781560 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 81 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (477781559) and next prime (477781561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477781561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141249 + ... + 144591.

It is an arithmetic number, because the mean of its divisors is an integer number (16220490).

Almost surely, 2^477781560 is an apocalyptic number.

477781560 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 477781560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778583520).

477781560 is an abundant number, since it is smaller than the sum of its proper divisors (1079385480).

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

477781560 is a wasteful number, since it uses less digits than its factorization.

477781560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 477781560 is about 21858.2149316910. The cubic root of 477781560 is about 781.7654291725.

The spelling of 477781560 in words is "four hundred seventy-seven million, seven hundred eighty-one thousand, five hundred sixty".