476734720 has 216 divisors, whose sum is σ = 1451223648. Its totient is φ = 148377600.

The previous prime is 476734673. The next prime is 476734763. The reversal of 476734720 is 27437674.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 689575 + ... + 690265.

It is an arithmetic number, because the mean of its divisors is an integer number (6718628).

Almost surely, 2^476734720 is an apocalyptic number.

476734720 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 476734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725611824).

476734720 is an abundant number, since it is smaller than the sum of its proper divisors (974488928).

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

476734720 is a wasteful number, since it uses less digits than its factorization.

476734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The square root of 476734720 is about 21834.2556548191. The cubic root of 476734720 is about 781.1940510760.

The spelling of 476734720 in words is "four hundred seventy-six million, seven hundred thirty-four thousand, seven hundred twenty".