450688920 has 128 divisors (see below), whose sum is σ = 1480308480. Its totient is φ = 108864000.

The previous prime is 450688907. The next prime is 450688939. The reversal of 450688920 is 29886054.

It is a super-2 number, since 2×450688920² = 406241005221532800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555315 + ... + 556125.

It is an arithmetic number, because the mean of its divisors is an integer number (11564910).

Almost surely, 2^450688920 is an apocalyptic number.

450688920 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 450688920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740154240).

450688920 is an abundant number, since it is smaller than the sum of its proper divisors (1029619560).

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

450688920 is a wasteful number, since it uses less digits than its factorization.

450688920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 450688920 is about 21229.4352256484. The cubic root of 450688920 is about 766.7002892207.

The spelling of 450688920 in words is "four hundred fifty million, six hundred eighty-eight thousand, nine hundred twenty".