476807760 has 360 divisors, whose sum is σ = 1899977352. Its totient is φ = 106444800.

The previous prime is 476807753. The next prime is 476807761. The reversal of 476807760 is 67708674.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 451647504 = 5016^2 + 21252^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (476807761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1132350 + ... + 1132770.

Almost surely, 2^476807760 is an apocalyptic number.

476807760 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 476807760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949988676).

476807760 is an abundant number, since it is smaller than the sum of its proper divisors (1423169592).

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

476807760 is a wasteful number, since it uses less digits than its factorization.

476807760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 476807760 is about 21835.9281918585. The cubic root of 476807760 is about 781.2339443314.

The spelling of 476807760 in words is "four hundred seventy-six million, eight hundred seven thousand, seven hundred sixty".