483917414400 has 2160 divisors, whose sum is σ = 2223332697600. Its totient is φ = 102558597120.

The previous prime is 483917414371. The next prime is 483917414411. The reversal of 483917414400 is 4414719384.

483917414400 is a `hidden beast` number, since 4 + 8 + 39 + 174 + 1 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10296115177 + ... + 10296115223.

Almost surely, 2^483917414400 is an apocalyptic number.

483917414400 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 483917414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111666348800).

483917414400 is an abundant number, since it is smaller than the sum of its proper divisors (1739415283200).

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

483917414400 is a wasteful number, since it uses less digits than its factorization.

483917414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 483917414400 in words is "four hundred eighty-three billion, nine hundred seventeen million, four hundred fourteen thousand, four hundred".