450664500 has 288 divisors, whose sum is σ = 1561577472. Its totient is φ = 100320000.

The previous prime is 450664471. The next prime is 450664517. The reversal of 450664500 is 5466054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2359405 + ... + 2359595.

It is an arithmetic number, because the mean of its divisors is an integer number (5422144).

Almost surely, 2^450664500 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 450664500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780788736).

450664500 is an abundant number, since it is smaller than the sum of its proper divisors (1110912972).

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

450664500 is a wasteful number, since it uses less digits than its factorization.

450664500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 450664500 is about 21228.8600730232. The cubic root of 450664500 is about 766.6864414139.

It can be divided in two parts, 4506 and 64500, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 450664500 in words is "four hundred fifty million, six hundred sixty-four thousand, five hundred".