477400 has 96 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 144000.

The previous prime is 477383. The next prime is 477409. The reversal of 477400 is 4774.

477400 = 126² + 127² + ... + 150².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477409) 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, 15385 + ... + 15415.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2⁴⁷⁷⁴⁰⁰ is an apocalyptic number.

477400 is a gapful number since it is divisible by the number (40) 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 477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

477400 is an abundant number, since it is smaller than the sum of its proper divisors (951080).

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

477400 is a wasteful number, since it uses less digits than its factorization.

477400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 477400 is about 690.9413868050. The cubic root of 477400 is about 78.1557265803.

Multiplying 477400 by its reverse (4774), we get a square (2279107600 = 47740²).

477400 divided by its reverse (4774) gives a square (100 = 10²).

It can be divided in two parts, 47 and 7400, that added together give a palindrome (7447).

The spelling of 477400 in words is "four hundred seventy-seven thousand, four hundred", and thus it is an iban number.