450260241480 has 768 divisors, whose sum is σ = 1778601369600. Its totient is φ = 101009825280.

The previous prime is 450260241479. The next prime is 450260241517. The reversal of 450260241480 is 84142062054.

450260241480 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 602 + 4 + 1 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 741779337 + ... + 741779943.

It is an arithmetic number, because the mean of its divisors is an integer number (2315887200).

Almost surely, 2^450260241480 is an apocalyptic number.

450260241480 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 450260241480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889300684800).

450260241480 is an abundant number, since it is smaller than the sum of its proper divisors (1328341128120).

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

450260241480 is a wasteful number, since it uses less digits than its factorization.

450260241480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 450260241480 in words is "four hundred fifty billion, two hundred sixty million, two hundred forty-one thousand, four hundred eighty".