39090450 has 96 divisors (see below), whose sum is σ = 112849920. Its totient is φ = 8769600.

The previous prime is 39090449. The next prime is 39090451. The reversal of 39090450 is 5409093.

It is an interprime number because it is at equal distance from previous prime (39090449) and next prime (39090451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39090451) 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 47 ways as a sum of consecutive naturals, for example, 61635 + ... + 62265.

It is an arithmetic number, because the mean of its divisors is an integer number (1175520).

Almost surely, 2^39090450 is an apocalyptic number.

39090450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39090450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424960).

39090450 is an abundant number, since it is smaller than the sum of its proper divisors (73759470).

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

39090450 is a wasteful number, since it uses less digits than its factorization.

39090450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 39090450 is about 6252.2356001674. The cubic root of 39090450 is about 339.3831086179.

The spelling of 39090450 in words is "thirty-nine million, ninety thousand, four hundred fifty".