450392160 has 96 divisors (see below), whose sum is σ = 1425779712. Its totient is φ = 119508480.

The previous prime is 450392147. The next prime is 450392161. The reversal of 450392160 is 61293054.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450392161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99057 + ... + 103503.

It is an arithmetic number, because the mean of its divisors is an integer number (14851872).

Almost surely, 2^450392160 is an apocalyptic number.

450392160 is a gapful number since it is divisible by the number (40) 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 450392160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712889856).

450392160 is an abundant number, since it is smaller than the sum of its proper divisors (975387552).

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

450392160 is a wasteful number, since it uses less digits than its factorization.

450392160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 450392160 is about 21222.4447225102. Note that the first 3 decimals coincide. The cubic root of 450392160 is about 766.5319721363.

The spelling of 450392160 in words is "four hundred fifty million, three hundred ninety-two thousand, one hundred sixty".