981824400 has 180 divisors, whose sum is σ = 3425280768. Its totient is φ = 260432640.

The previous prime is 981824387. The next prime is 981824413. The reversal of 981824400 is 4428189.

It is an interprime number because it is at equal distance from previous prime (981824387) and next prime (981824413).

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 802189 + ... + 803411.

Almost surely, 2^981824400 is an apocalyptic number.

981824400 is a gapful number since it is divisible by the number (90) 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 981824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712640384).

981824400 is an abundant number, since it is smaller than the sum of its proper divisors (2443456368).

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

981824400 is a wasteful number, since it uses less digits than its factorization.

981824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 981824400 is about 31334.0772961324. The cubic root of 981824400 is about 993.9043856496.

The spelling of 981824400 in words is "nine hundred eighty-one million, eight hundred twenty-four thousand, four hundred".