450054540 has 144 divisors (see below), whose sum is σ = 1506357216. Its totient is φ = 108057600.

The previous prime is 450054529. The next prime is 450054551. The reversal of 450054540 is 45450054.

It is an interprime number because it is at equal distance from previous prime (450054529) and next prime (450054551).

It is a super-2 number, since 2×450054540² = 405098177949223200, which contains 22 as substring.

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, 93595 + ... + 98285.

It is an arithmetic number, because the mean of its divisors is an integer number (10460814).

Almost surely, 2^450054540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753178608).

450054540 is an abundant number, since it is smaller than the sum of its proper divisors (1056302676).

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

450054540 is a wasteful number, since it uses less digits than its factorization.

450054540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 450054540 is about 21214.4889167757. The cubic root of 450054540 is about 766.3403900440.

The spelling of 450054540 in words is "four hundred fifty million, fifty-four thousand, five hundred forty".