477300660480 has 1152 divisors, whose sum is σ = 2098027008000. Its totient is φ = 100254744576.

The previous prime is 477300660479. The next prime is 477300660511. The reversal of 477300660480 is 84066003774.

477300660480 is a `hidden beast` number, since 4 + 7 + 7 + 30 + 0 + 6 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 176842171 + ... + 176844869.

It is an arithmetic number, because the mean of its divisors is an integer number (1821204000).

Almost surely, 2^477300660480 is an apocalyptic number.

477300660480 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 477300660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049013504000).

477300660480 is an abundant number, since it is smaller than the sum of its proper divisors (1620726347520).

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

477300660480 is a wasteful number, since it uses less digits than its factorization.

477300660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 477300660480 in words is "four hundred seventy-seven billion, three hundred million, six hundred sixty thousand, four hundred eighty".