482476262400 has 2112 divisors, whose sum is σ = 2105350963200. Its totient is φ = 107053056000.

The previous prime is 482476262399. The next prime is 482476262407. The reversal of 482476262400 is 4262674284.

482476262400 is a `hidden beast` number, since 4 + 82 + 476 + 2 + 62 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482476262407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5421081556 + ... + 5421081644.

Almost surely, 2^482476262400 is an apocalyptic number.

482476262400 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 482476262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052675481600).

482476262400 is an abundant number, since it is smaller than the sum of its proper divisors (1622874700800).

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

482476262400 is a wasteful number, since it uses less digits than its factorization.

482476262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 482476262400 in words is "four hundred eighty-two billion, four hundred seventy-six million, two hundred sixty-two thousand, four hundred".