481008326400 has 2160 divisors, whose sum is σ = 2156218118208. Its totient is φ = 103514112000.

The previous prime is 481008326387. The next prime is 481008326419. The reversal of 481008326400 is 4623800184.

481008326400 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 0 + 8 + 3 + 2 + 640 + 0 = 666.

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

It is a super-3 number, since 3×481008326400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7885382370 + ... + 7885382430.

Almost surely, 2^481008326400 is an apocalyptic number.

481008326400 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 481008326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078109059104).

481008326400 is an abundant number, since it is smaller than the sum of its proper divisors (1675209791808).

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

481008326400 is a wasteful number, since it uses less digits than its factorization.

481008326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 481008326400 in words is "four hundred eighty-one billion, eight million, three hundred twenty-six thousand, four hundred".