90414252 has 48 divisors (see below), whose sum is σ = 235478880. Its totient is φ = 30000384.

The previous prime is 90414241. The next prime is 90414253. The reversal of 90414252 is 25241409.

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 (90414253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23368 + ... + 26960.

It is an arithmetic number, because the mean of its divisors is an integer number (4905810).

Almost surely, 2^90414252 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 90414252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117739440).

90414252 is an abundant number, since it is smaller than the sum of its proper divisors (145064628).

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

90414252 is a wasteful number, since it uses less digits than its factorization.

90414252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 90414252 is about 9508.6409123491. The cubic root of 90414252 is about 448.8269894261.

The spelling of 90414252 in words is "ninety million, four hundred fourteen thousand, two hundred fifty-two".