450091950 has 288 divisors, whose sum is σ = 1496154240. Its totient is φ = 88300800.

The previous prime is 450091927. The next prime is 450091979. The reversal of 450091950 is 59190054.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1536004 + ... + 1536296.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^450091950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450091950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

450091950 is an abundant number, since it is smaller than the sum of its proper divisors (1046062290).

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

450091950 is a wasteful number, since it uses less digits than its factorization.

450091950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 450091950 is about 21215.3706071801. The cubic root of 450091950 is about 766.3616230258.

The spelling of 450091950 in words is "four hundred fifty million, ninety-one thousand, nine hundred fifty".