90200451 has 32 divisors (see below), whose sum is σ = 135555840. Its totient is φ = 52876800.

The previous prime is 90200449. The next prime is 90200471. The reversal of 90200451 is 15400209.

It is not a de Polignac number, because 90200451 - 2¹ = 90200449 is a prime.

It is a super-2 number, since 2×90200451² = 16272242721206802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90200401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220335 + ... + 220743.

It is an arithmetic number, because the mean of its divisors is an integer number (4236120).

Almost surely, 2^90200451 is an apocalyptic number.

90200451 is a deficient number, since it is larger than the sum of its proper divisors (45355389).

90200451 is a wasteful number, since it uses less digits than its factorization.

90200451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 90200451 is about 9497.3917998575. The cubic root of 90200451 is about 448.4729324251.

The spelling of 90200451 in words is "ninety million, two hundred thousand, four hundred fifty-one".