484477070400 has 1176 divisors, whose sum is σ = 1932385710024. Its totient is φ = 119041228800.

The previous prime is 484477070353. The next prime is 484477070423. The reversal of 484477070400 is 4070774484.

It can be written as a sum of positive squares in 12 ways, for example, as 61488129024 + 422988941376 = 247968^2 + 650376^2 .

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 167 ways as a sum of consecutive naturals, for example, 1050926170 + ... + 1050926630.

Almost surely, 2^484477070400 is an apocalyptic number.

484477070400 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 484477070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966192855012).

484477070400 is an abundant number, since it is smaller than the sum of its proper divisors (1447908639624).

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

484477070400 is a wasteful number, since it uses less digits than its factorization.

484477070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 484477070400 in words is "four hundred eighty-four billion, four hundred seventy-seven million, seventy thousand, four hundred".