450031680 has 336 divisors, whose sum is σ = 1848551040. Its totient is φ = 102767616.

The previous prime is 450031649. The next prime is 450031691. The reversal of 450031680 is 86130054.

450031680 = T₃₃₆ + T₃₃₇ + ... + T₁₃₉₈.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 422829 + ... + 423891.

It is an arithmetic number, because the mean of its divisors is an integer number (5501640).

Almost surely, 2^450031680 is an apocalyptic number.

450031680 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 450031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924275520).

450031680 is an abundant number, since it is smaller than the sum of its proper divisors (1398519360).

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

450031680 is a wasteful number, since it uses less digits than its factorization.

450031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1080 counting only the distinct ones).

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

The square root of 450031680 is about 21213.9501272158. The cubic root of 450031680 is about 766.3274146996.

The spelling of 450031680 in words is "four hundred fifty million, thirty-one thousand, six hundred eighty".