450611040 has 192 divisors, whose sum is σ = 1598994432. Its totient is φ = 105676800.

The previous prime is 450611039. The next prime is 450611053. The reversal of 450611040 is 40116054.

It is a junction number, because it is equal to n+sod(n) for n = 450610998 and 450611016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162304 + ... + 165056.

It is an arithmetic number, because the mean of its divisors is an integer number (8328096).

Almost surely, 2^450611040 is an apocalyptic number.

450611040 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 450611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799497216).

450611040 is an abundant number, since it is smaller than the sum of its proper divisors (1148383392).

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

450611040 is a wasteful number, since it uses less digits than its factorization.

450611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2805 counting only the distinct ones).

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

The square root of 450611040 is about 21227.6009007141. The cubic root of 450611040 is about 766.6561241987.

Adding to 450611040 its reverse (40116054), we get a palindrome (490727094).

The spelling of 450611040 in words is "four hundred fifty million, six hundred eleven thousand, forty".