90025452 has 108 divisors (see below), whose sum is σ = 259674520. Its totient is φ = 26951760.

The previous prime is 90025451. The next prime is 90025459. The reversal of 90025452 is 25452009.

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 (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90025451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1084603 + ... + 1084685.

Almost surely, 2^90025452 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 90025452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129837260).

90025452 is an abundant number, since it is smaller than the sum of its proper divisors (169649068).

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

90025452 is a wasteful number, since it uses less digits than its factorization.

90025452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 90025452 is about 9488.1743238623. The cubic root of 90025452 is about 448.1827153828.

Multiplying 90025452 by its sum of digits (27), we get a square (2430687204 = 49302²).

90025452 divided by its sum of digits (27) gives a square (3334276 = 1826²).

The spelling of 90025452 in words is "ninety million, twenty-five thousand, four hundred fifty-two".