477548006400 has 2640 divisors, whose sum is σ = 2122895554560. Its totient is φ = 105106636800.

The previous prime is 477548006311. The next prime is 477548006401. The reversal of 477548006400 is 4600845774.

477548006400 is a `hidden beast` number, since 47 + 7 + 548 + 0 + 0 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×477548006400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (477548006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15404774385 + ... + 15404774415.

It is an arithmetic number, because the mean of its divisors is an integer number (804127104).

Almost surely, 2^477548006400 is an apocalyptic number.

477548006400 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 477548006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061447777280).

477548006400 is an abundant number, since it is smaller than the sum of its proper divisors (1645347548160).

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

477548006400 is a wasteful number, since it uses less digits than its factorization.

477548006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 477548006400 in words is "four hundred seventy-seven billion, five hundred forty-eight million, six thousand, four hundred".