450366540 has 96 divisors (see below), whose sum is σ = 1365590016. Its totient is φ = 110242560.

The previous prime is 450366523. The next prime is 450366547. The reversal of 450366540 is 45663054.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (450366547) 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, 147469 + ... + 150491.

It is an arithmetic number, because the mean of its divisors is an integer number (14224896).

Almost surely, 2^450366540 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 450366540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682795008).

450366540 is an abundant number, since it is smaller than the sum of its proper divisors (915223476).

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

450366540 is a wasteful number, since it uses less digits than its factorization.

450366540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 450366540 is about 21221.8411076890. The cubic root of 450366540 is about 766.5174374535.

The spelling of 450366540 in words is "four hundred fifty million, three hundred sixty-six thousand, five hundred forty".