484714296000 has 1344 divisors, whose sum is σ = 1962205839360. Its totient is φ = 113218560000.

The previous prime is 484714295983. The next prime is 484714296013. The reversal of 484714296000 is 692417484.

484714296000 is a `hidden beast` number, since 4 + 8 + 4 + 7 + 14 + 29 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3816647937 + ... + 3816648063.

Almost surely, 2^484714296000 is an apocalyptic number.

484714296000 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 484714296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981102919680).

484714296000 is an abundant number, since it is smaller than the sum of its proper divisors (1477491543360).

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

484714296000 is a wasteful number, since it uses less digits than its factorization.

484714296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

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

The spelling of 484714296000 in words is "four hundred eighty-four billion, seven hundred fourteen million, two hundred ninety-six thousand".