450429120 has 224 divisors, whose sum is σ = 1633118400. Its totient is φ = 116785152.

The previous prime is 450429113. The next prime is 450429121. The reversal of 450429120 is 21924054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (450429121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318976 + ... + 320384.

Almost surely, 2^450429120 is an apocalyptic number.

450429120 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 450429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816559200).

450429120 is an abundant number, since it is smaller than the sum of its proper divisors (1182689280).

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

450429120 is a wasteful number, since it uses less digits than its factorization.

450429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 450429120 is about 21223.3154808574. The cubic root of 450429120 is about 766.5529392322.

The spelling of 450429120 in words is "four hundred fifty million, four hundred twenty-nine thousand, one hundred twenty".