477828774 has 32 divisors (see below), whose sum is σ = 1062583680. Its totient is φ = 159165000.

The previous prime is 477828751. The next prime is 477828817.

477828774 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 477828774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119589 + ... + 123519.

It is an arithmetic number, because the mean of its divisors is an integer number (33205740).

Almost surely, 2^477828774 is an apocalyptic number.

477828774 is an abundant number, since it is smaller than the sum of its proper divisors (584754906).

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

477828774 is a wasteful number, since it uses less digits than its factorization.

477828774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6187 counting only the distinct ones).

The product of its digits is 4917248, while the sum is 54.

The square root of 477828774 is about 21859.2949108611. The cubic root of 477828774 is about 781.7911794737.

The spelling of 477828774 in words is "four hundred seventy-seven million, eight hundred twenty-eight thousand, seven hundred seventy-four".