477711780 has 288 divisors, whose sum is σ = 1737469440. Its totient is φ = 97090560.

The previous prime is 477711779. The next prime is 477711791. The reversal of 477711780 is 87117774.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1108165 + ... + 1108595.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^477711780 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 477711780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

477711780 is an abundant number, since it is smaller than the sum of its proper divisors (1259757660).

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

477711780 is a wasteful number, since it uses less digits than its factorization.

477711780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 42.

The square root of 477711780 is about 21856.6186771879. The cubic root of 477711780 is about 781.7273683708.

The spelling of 477711780 in words is "four hundred seventy-seven million, seven hundred eleven thousand, seven hundred eighty".