450508802490 has 96 divisors (see below), whose sum is σ = 1204274822400. Its totient is φ = 116790314112.

The previous prime is 450508802483. The next prime is 450508802509. The reversal of 450508802490 is 94208805054.

450508802490 is a `hidden beast` number, since 4 + 50 + 508 + 8 + 0 + 2 + 4 + 90 = 666.

It is a super-2 number, since 2×450508802490² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272877 + ... + 987663.

It is an arithmetic number, because the mean of its divisors is an integer number (12544529400).

Almost surely, 2^450508802490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450508802490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602137411200).

450508802490 is an abundant number, since it is smaller than the sum of its proper divisors (753766019910).

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

450508802490 is a wasteful number, since it uses less digits than its factorization.

450508802490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714996 (or 714993 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 450508802490 in words is "four hundred fifty billion, five hundred eight million, eight hundred two thousand, four hundred ninety".