477300096 has 384 divisors, whose sum is σ = 1759867200. Its totient is φ = 120766464.

The previous prime is 477300091. The next prime is 477300113. The reversal of 477300096 is 690003774.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 477300096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477300091) 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 47 ways as a sum of consecutive naturals, for example, 3040050 + ... + 3040206.

Almost surely, 2^477300096 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 477300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879933600).

477300096 is an abundant number, since it is smaller than the sum of its proper divisors (1282567104).

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

477300096 is a wasteful number, since it uses less digits than its factorization.

477300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 477300096 is about 21847.1988135779. The cubic root of 477300096 is about 781.5027439875.

The spelling of 477300096 in words is "four hundred seventy-seven million, three hundred thousand, ninety-six".