477279360 has 384 divisors, whose sum is σ = 1764322560. Its totient is φ = 118702080.

The previous prime is 477279359. The next prime is 477279389. The reversal of 477279360 is 63972774.

It is a happy number.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10154857 + ... + 10154903.

It is an arithmetic number, because the mean of its divisors is an integer number (4594590).

Almost surely, 2^477279360 is an apocalyptic number.

477279360 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 477279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882161280).

477279360 is an abundant number, since it is smaller than the sum of its proper divisors (1287043200).

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

477279360 is a wasteful number, since it uses less digits than its factorization.

477279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 477279360 is about 21846.7242395742. The cubic root of 477279360 is about 781.4914265266.

The spelling of 477279360 in words is "four hundred seventy-seven million, two hundred seventy-nine thousand, three hundred sixty".