477124128 has 192 divisors, whose sum is σ = 1516475520. Its totient is φ = 145069056.

The previous prime is 477124117. The next prime is 477124129. The reversal of 477124128 is 821421774.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 477124092 and 477124101.

It is not an unprimeable number, because it can be changed into a prime (477124129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201626 + ... + 1202022.

It is an arithmetic number, because the mean of its divisors is an integer number (7898310).

Almost surely, 2^477124128 is an apocalyptic number.

477124128 is a gapful number since it is divisible by the number (48) 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 477124128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758237760).

477124128 is an abundant number, since it is smaller than the sum of its proper divisors (1039351392).

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

477124128 is a wasteful number, since it uses less digits than its factorization.

477124128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 477124128 is about 21843.1711983402. The cubic root of 477124128 is about 781.4066923424.

The spelling of 477124128 in words is "four hundred seventy-seven million, one hundred twenty-four thousand, one hundred twenty-eight".