477126720 has 560 divisors, whose sum is σ = 2048987520. Its totient is φ = 104315904.

The previous prime is 477126719. The next prime is 477126733. The reversal of 477126720 is 27621774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-4 number, since 4×477126720⁴ (a number of 36 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20744629 + ... + 20744651.

Almost surely, 2^477126720 is an apocalyptic number.

477126720 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 477126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024493760).

477126720 is an abundant number, since it is smaller than the sum of its proper divisors (1571860800).

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

477126720 is an equidigital number, since it uses as much as digits as its factorization.

477126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 477126720 is about 21843.2305303039. The cubic root of 477126720 is about 781.4081073498.

The spelling of 477126720 in words is "four hundred seventy-seven million, one hundred twenty-six thousand, seven hundred twenty".