484764134400 has 1980 divisors, whose sum is σ = 2254839410208. Its totient is φ = 102001213440.

The previous prime is 484764134359. The next prime is 484764134411. The reversal of 484764134400 is 4431467484.

It is a happy number.

484764134400 is a `hidden beast` number, since 4 + 8 + 476 + 4 + 134 + 40 + 0 = 666.

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 179 ways as a sum of consecutive naturals, for example, 1320883017 + ... + 1320883383.

Almost surely, 2^484764134400 is an apocalyptic number.

484764134400 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 484764134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127419705104).

484764134400 is an abundant number, since it is smaller than the sum of its proper divisors (1770075275808).

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

484764134400 is a wasteful number, since it uses less digits than its factorization.

484764134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 397 counting only the distinct ones).

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

The spelling of 484764134400 in words is "four hundred eighty-four billion, seven hundred sixty-four million, one hundred thirty-four thousand, four hundred".