450609888 has 96 divisors (see below), whose sum is σ = 1295753760. Its totient is φ = 136478720.

The previous prime is 450609853. The next prime is 450609919. The reversal of 450609888 is 888906054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42568 + ... + 52088.

It is an arithmetic number, because the mean of its divisors is an integer number (13497435).

Almost surely, 2^450609888 is an apocalyptic number.

450609888 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 450609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647876880).

450609888 is an abundant number, since it is smaller than the sum of its proper divisors (845143872).

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

450609888 is a wasteful number, since it uses less digits than its factorization.

450609888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 450609888 is about 21227.5737662127. The cubic root of 450609888 is about 766.6554708720.

The spelling of 450609888 in words is "four hundred fifty million, six hundred nine thousand, eight hundred eighty-eight".