477474816 has 312 divisors, whose sum is σ = 1621031664. Its totient is φ = 123863040.

The previous prime is 477474797. The next prime is 477474817. The reversal of 477474816 is 618474774.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477474817) by changing a digit.

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, 7827426 + ... + 7827486.

Almost surely, 2^477474816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810515832).

477474816 is an abundant number, since it is smaller than the sum of its proper divisors (1143556848).

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

477474816 is a wasteful number, since it uses less digits than its factorization.

477474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 477474816 is about 21851.1971296769. The cubic root of 477474816 is about 781.5980910608.

The spelling of 477474816 in words is "four hundred seventy-seven million, four hundred seventy-four thousand, eight hundred sixteen".