998400480 has 576 divisors, whose sum is σ = 4244389632. Its totient is φ = 194396160.

The previous prime is 998400451. The next prime is 998400503. The reversal of 998400480 is 84004899.

It is a super-3 number, since 3×998400480³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4398127 + ... + 4398353.

It is an arithmetic number, because the mean of its divisors is an integer number (7368732).

Almost surely, 2^998400480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122194816).

998400480 is an abundant number, since it is smaller than the sum of its proper divisors (3245989152).

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

998400480 is a wasteful number, since it uses less digits than its factorization.

998400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 998400480 is about 31597.4758485547. The cubic root of 998400480 is about 999.4665421400.

It can be divided in two parts, 9 and 98400480, that added together give a palindrome (98400489).

The spelling of 998400480 in words is "nine hundred ninety-eight million, four hundred thousand, four hundred eighty".