450618480 has 240 divisors, whose sum is σ = 1683392256. Its totient is φ = 107274240.

The previous prime is 450618451. The next prime is 450618491. The reversal of 450618480 is 84816054.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 289384 + ... + 290936.

Almost surely, 2^450618480 is an apocalyptic number.

450618480 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 450618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841696128).

450618480 is an abundant number, since it is smaller than the sum of its proper divisors (1232773776).

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

450618480 is a wasteful number, since it uses less digits than its factorization.

450618480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 450618480 is about 21227.7761435342. The cubic root of 450618480 is about 766.6603435731.

The spelling of 450618480 in words is "four hundred fifty million, six hundred eighteen thousand, four hundred eighty".