455630084 has 72 divisors (see below), whose sum is σ = 1001024640. Its totient is φ = 177645312.

The previous prime is 455630057. The next prime is 455630111. The reversal of 455630084 is 480036554.

455630084 = T₂₁₇ + T₂₁₈ + ... + T₁₃₉₉.

It is an interprime number because it is at equal distance from previous prime (455630057) and next prime (455630111).

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, 344777 + ... + 346095.

It is an arithmetic number, because the mean of its divisors is an integer number (13903120).

Almost surely, 2^455630084 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 455630084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500512320).

455630084 is an abundant number, since it is smaller than the sum of its proper divisors (545394556).

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

455630084 is a wasteful number, since it uses less digits than its factorization.

455630084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 455630084 is about 21345.4932948386. The cubic root of 455630084 is about 769.4920380573.

The spelling of 455630084 in words is "four hundred fifty-five million, six hundred thirty thousand, eighty-four".