476607780 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 105753600.

The previous prime is 476607763. The next prime is 476607809. The reversal of 476607780 is 87706674.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4627209 + ... + 4627311.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^476607780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476607780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

476607780 is an abundant number, since it is smaller than the sum of its proper divisors (1284569820).

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

476607780 is a wasteful number, since it uses less digits than its factorization.

476607780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

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

The square root of 476607780 is about 21831.3485611860. The cubic root of 476607780 is about 781.1247088251.

The spelling of 476607780 in words is "four hundred seventy-six million, six hundred seven thousand, seven hundred eighty".