477869760 has 448 divisors, whose sum is σ = 1843430400. Its totient is φ = 116121600.

The previous prime is 477869701. The next prime is 477869767. The reversal of 477869760 is 67968774.

477869760 is a `hidden beast` number, since 477 + 86 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 477869697 and 477869706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477869767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6730525 + ... + 6730595.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^477869760 is an apocalyptic number.

477869760 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 477869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

477869760 is an abundant number, since it is smaller than the sum of its proper divisors (1365560640).

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

477869760 is a wasteful number, since it uses less digits than its factorization.

477869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 477869760 is about 21860.2323866879. The cubic root of 477869760 is about 781.8135316766.

The spelling of 477869760 in words is "four hundred seventy-seven million, eight hundred sixty-nine thousand, seven hundred sixty".