477813700 has 162 divisors, whose sum is σ = 1308318606. Its totient is φ = 150958080.

The previous prime is 477813673. The next prime is 477813701. The reversal of 477813700 is 7318774.

It can be written as a sum of positive squares in 9 ways, for example, as 140944384 + 336869316 = 11872^2 + 18354^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 477813700.

It is not an unprimeable number, because it can be changed into a prime (477813701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 827812 + ... + 828388.

Almost surely, 2^477813700 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 477813700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654159303).

477813700 is an abundant number, since it is smaller than the sum of its proper divisors (830504906).

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

477813700 is a wasteful number, since it uses less digits than its factorization.

477813700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 477813700 is about 21858.9501120251. The cubic root of 477813700 is about 781.7829583669.

The spelling of 477813700 in words is "four hundred seventy-seven million, eight hundred thirteen thousand, seven hundred".