1450461540 has 96 divisors (see below), whose sum is σ = 4441651200. Its totient is φ = 350742400.

The previous prime is 1450461533. The next prime is 1450461541. The reversal of 1450461540 is 451640541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1450461498 and 1450461507.

It is not an unprimeable number, because it can be changed into a prime (1450461541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281911 + ... + 287009.

It is an arithmetic number, because the mean of its divisors is an integer number (46267200).

Almost surely, 2^1450461540 is an apocalyptic number.

1450461540 is a gapful number since it is divisible by the number (10) 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 1450461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

1450461540 is an abundant number, since it is smaller than the sum of its proper divisors (2991189660).

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

1450461540 is a wasteful number, since it uses less digits than its factorization.

1450461540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1450461540 is about 38084.9253642435. The cubic root of 1450461540 is about 1131.9712739363.

The spelling of 1450461540 in words is "one billion, four hundred fifty million, four hundred sixty-one thousand, five hundred forty".