450416700 has 180 divisors, whose sum is σ = 1546432272. Its totient is φ = 113011200.

The previous prime is 450416699. The next prime is 450416711. The reversal of 450416700 is 7614054.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136065 + ... + 139335.

Almost surely, 2^450416700 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 450416700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773216136).

450416700 is an abundant number, since it is smaller than the sum of its proper divisors (1096015572).

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

450416700 is a wasteful number, since it uses less digits than its factorization.

450416700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 450416700 is about 21223.0228761126. The cubic root of 450416700 is about 766.5458935990.

The spelling of 450416700 in words is "four hundred fifty million, four hundred sixteen thousand, seven hundred".