450747264 has 192 divisors, whose sum is σ = 1343034000. Its totient is φ = 133816320.

The previous prime is 450747251. The next prime is 450747287. The reversal of 450747264 is 462747054.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4135242 + ... + 4135350.

Almost surely, 2^450747264 is an apocalyptic number.

450747264 is a gapful number since it is divisible by the number (44) 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 450747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671517000).

450747264 is an abundant number, since it is smaller than the sum of its proper divisors (892286736).

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

450747264 is a wasteful number, since it uses less digits than its factorization.

450747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 450747264 is about 21230.8093109990. The cubic root of 450747264 is about 766.7333722258.

The spelling of 450747264 in words is "four hundred fifty million, seven hundred forty-seven thousand, two hundred sixty-four".