9024998400 has 528 divisors, whose sum is σ = 36185719680. Its totient is φ = 2186035200.

The previous prime is 9024998393. The next prime is 9024998407. The reversal of 9024998400 is 48994209.

It is an interprime number because it is at equal distance from previous prime (9024998393) and next prime (9024998407).

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×9024998400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9024998407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7602607 + ... + 7603793.

It is an arithmetic number, because the mean of its divisors is an integer number (68533560).

Almost surely, 2^9024998400 is an apocalyptic number.

9024998400 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 9024998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18092859840).

9024998400 is an abundant number, since it is smaller than the sum of its proper divisors (27160721280).

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

9024998400 is a wasteful number, since it uses less digits than its factorization.

9024998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9024998400 is about 94999.9915789470. The cubic root of 9024998400 is about 2082.0079229656.

The spelling of 9024998400 in words is "nine billion, twenty-four million, nine hundred ninety-eight thousand, four hundred".