477456742400 has 1152 divisors, whose sum is σ = 1474105651200. Its totient is φ = 151388160000.

The previous prime is 477456742363. The next prime is 477456742453. The reversal of 477456742400 is 4247654774.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11645286380 + ... + 11645286420.

It is an arithmetic number, because the mean of its divisors is an integer number (1279605600).

Almost surely, 2^477456742400 is an apocalyptic number.

477456742400 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 477456742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737052825600).

477456742400 is an abundant number, since it is smaller than the sum of its proper divisors (996648908800).

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

477456742400 is a wasteful number, since it uses less digits than its factorization.

477456742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 50.

The spelling of 477456742400 in words is "four hundred seventy-seven billion, four hundred fifty-six million, seven hundred forty-two thousand, four hundred".