450461088 has 480 divisors, whose sum is σ = 1724139648. Its totient is φ = 111974400.

The previous prime is 450461071. The next prime is 450461131. The reversal of 450461088 is 880164054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7384578 + ... + 7384638.

Almost surely, 2^450461088 is an apocalyptic number.

450461088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450461088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862069824).

450461088 is an abundant number, since it is smaller than the sum of its proper divisors (1273678560).

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

450461088 is a wasteful number, since it uses less digits than its factorization.

450461088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 450461088 is about 21224.0686014722. The cubic root of 450461088 is about 766.5710734835.

The spelling of 450461088 in words is "four hundred fifty million, four hundred sixty-one thousand, eighty-eight".