482264640000 has 1200 divisors, whose sum is σ = 2045064045024. Its totient is φ = 107827200000.

The previous prime is 482264639977. The next prime is 482264640023. The reversal of 482264640000 is 46462284.

It is a happy number.

482264640000 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 6 + 4 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (482264639977) and next prime (482264640023).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 411839415 + ... + 411840585.

Almost surely, 2^482264640000 is an apocalyptic number.

482264640000 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 482264640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022532022512).

482264640000 is an abundant number, since it is smaller than the sum of its proper divisors (1562799405024).

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

482264640000 is a wasteful number, since it uses less digits than its factorization.

482264640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 482264640000 in words is "four hundred eighty-two billion, two hundred sixty-four million, six hundred forty thousand".