450924264 has 288 divisors, whose sum is σ = 1549080000. Its totient is φ = 118117440.

The previous prime is 450924263. The next prime is 450924301. The reversal of 450924264 is 462429054.

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

It is not an unprimeable number, because it can be changed into a prime (450924263) 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, 14545929 + ... + 14545959.

It is an arithmetic number, because the mean of its divisors is an integer number (5378750).

Almost surely, 2^450924264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450924264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774540000).

450924264 is an abundant number, since it is smaller than the sum of its proper divisors (1098155736).

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

450924264 is a wasteful number, since it uses less digits than its factorization.

450924264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 450924264 is about 21234.9773722507. The cubic root of 450924264 is about 766.8337196990.

The spelling of 450924264 in words is "four hundred fifty million, nine hundred twenty-four thousand, two hundred sixty-four".