450480525480 has 192 divisors, whose sum is σ = 1552018300560. Its totient is φ = 112927924224.

The previous prime is 450480525433. The next prime is 450480525487. The reversal of 450480525480 is 84525084054.

450480525480 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 80 + 525 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26265388356 + 424215137124 = 162066^2 + 651318^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (450480525487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5177214 + ... + 5263506.

Almost surely, 2^450480525480 is an apocalyptic number.

450480525480 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 450480525480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776009150280).

450480525480 is an abundant number, since it is smaller than the sum of its proper divisors (1101537775080).

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

450480525480 is a wasteful number, since it uses less digits than its factorization.

450480525480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87180 (or 87173 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 450480525480 in words is "four hundred fifty billion, four hundred eighty million, five hundred twenty-five thousand, four hundred eighty".