90249309000 has 640 divisors, whose sum is σ = 332211559680. Its totient is φ = 22809600000.

The previous prime is 90249308999. The next prime is 90249309001. The reversal of 90249309000 is 90394209.

It is an interprime number because it is at equal distance from previous prime (90249308999) and next prime (90249309001).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (90249309001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 359558875 + ... + 359559125.

It is an arithmetic number, because the mean of its divisors is an integer number (519080562).

Almost surely, 2^90249309000 is an apocalyptic number.

90249309000 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 90249309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166105779840).

90249309000 is an abundant number, since it is smaller than the sum of its proper divisors (241962250680).

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

90249309000 is a wasteful number, since it uses less digits than its factorization.

90249309000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 90249309000 in words is "ninety billion, two hundred forty-nine million, three hundred nine thousand".