477734400 has 720 divisors, whose sum is σ = 2077835760. Its totient is φ = 103219200.

The previous prime is 477734399. The next prime is 477734407. The reversal of 477734400 is 4437774.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477734407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16473586 + ... + 16473614.

It is an arithmetic number, because the mean of its divisors is an integer number (2885883).

Almost surely, 2^477734400 is an apocalyptic number.

477734400 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 477734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038917880).

477734400 is an abundant number, since it is smaller than the sum of its proper divisors (1600101360).

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

477734400 is a wasteful number, since it uses less digits than its factorization.

477734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 477734400 is about 21857.1361344527. The cubic root of 477734400 is about 781.7397066291.

The spelling of 477734400 in words is "four hundred seventy-seven million, seven hundred thirty-four thousand, four hundred".