90420300 has 162 divisors, whose sum is σ = 298811604. Its totient is φ = 23716800.

The previous prime is 90420277. The next prime is 90420311. The reversal of 90420300 is 302409.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 53 ways as a sum of consecutive naturals, for example, 1482270 + ... + 1482330.

Almost surely, 2^90420300 is an apocalyptic number.

90420300 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 90420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149405802).

90420300 is an abundant number, since it is smaller than the sum of its proper divisors (208391304).

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

90420300 is a wasteful number, since it uses less digits than its factorization.

90420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 90420300 is about 9508.9589335531. The cubic root of 90420300 is about 448.8369968643.

Adding to 90420300 its reverse (302409), we get a palindrome (90722709).

The spelling of 90420300 in words is "ninety million, four hundred twenty thousand, three hundred".