450129680 has 360 divisors, whose sum is σ = 1460828376. Its totient is φ = 127733760.

The previous prime is 450129653. The next prime is 450129683. The reversal of 450129680 is 86921054.

It can be written as a sum of positive squares in 4 ways, for example, as 11478544 + 438651136 = 3388^2 + 20944^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 450129680.

It is not an unprimeable number, because it can be changed into a prime (450129683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6166124 + ... + 6166196.

Almost surely, 2^450129680 is an apocalyptic number.

450129680 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 450129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730414188).

450129680 is an abundant number, since it is smaller than the sum of its proper divisors (1010698696).

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

450129680 is a wasteful number, since it uses less digits than its factorization.

450129680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 450129680 is about 21216.2598023309. The cubic root of 450129680 is about 766.3830364401.

The spelling of 450129680 in words is "four hundred fifty million, one hundred twenty-nine thousand, six hundred eighty".