477171072 has 192 divisors, whose sum is σ = 1603929600. Its totient is φ = 133327872.

The previous prime is 477171061. The next prime is 477171103. The reversal of 477171072 is 270171774.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 378379 + ... + 379637.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^477171072 is an apocalyptic number.

477171072 is a gapful number since it is divisible by the number (42) 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 477171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

477171072 is an abundant number, since it is smaller than the sum of its proper divisors (1126758528).

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

477171072 is a wasteful number, since it uses less digits than its factorization.

477171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The square root of 477171072 is about 21844.2457411557. The cubic root of 477171072 is about 781.4323189042.

The spelling of 477171072 in words is "four hundred seventy-seven million, one hundred seventy-one thousand, seventy-two".