477133900 has 72 divisors (see below), whose sum is σ = 1100460816. Its totient is φ = 178944000.

The previous prime is 477133879. The next prime is 477133901. The reversal of 477133900 is 9331774.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (477133901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793600 + ... + 794200.

It is an arithmetic number, because the mean of its divisors is an integer number (15284178).

Almost surely, 2^477133900 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 477133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550230408).

477133900 is an abundant number, since it is smaller than the sum of its proper divisors (623326916).

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

477133900 is a wasteful number, since it uses less digits than its factorization.

477133900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 477133900 is about 21843.3948826642. The cubic root of 477133900 is about 781.4120269808.

The spelling of 477133900 in words is "four hundred seventy-seven million, one hundred thirty-three thousand, nine hundred".