450161040 has 240 divisors, whose sum is σ = 1643734080. Its totient is φ = 101606400.

The previous prime is 450161027. The next prime is 450161059. The reversal of 450161040 is 40161054.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 450160998 and 450161016.

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, 1187571 + ... + 1187949.

It is an arithmetic number, because the mean of its divisors is an integer number (6848892).

Almost surely, 2^450161040 is an apocalyptic number.

450161040 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 450161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821867040).

450161040 is an abundant number, since it is smaller than the sum of its proper divisors (1193573040).

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

450161040 is a wasteful number, since it uses less digits than its factorization.

450161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 450161040 is about 21216.9988452656. The cubic root of 450161040 is about 766.4008336920.

It can be divided in two parts, 45016 and 1040, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 450161040 in words is "four hundred fifty million, one hundred sixty-one thousand, forty".