455408016 has 160 divisors (see below), whose sum is σ = 1382411520. Its totient is φ = 126517248.

The previous prime is 455407999. The next prime is 455408021. The reversal of 455408016 is 610804554.

It is a super-2 number, since 2×455408016² = 414792922074112512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2900610 + ... + 2900766.

It is an arithmetic number, because the mean of its divisors is an integer number (8640072).

Almost surely, 2^455408016 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 455408016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691205760).

455408016 is an abundant number, since it is smaller than the sum of its proper divisors (927003504).

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

455408016 is a wasteful number, since it uses less digits than its factorization.

455408016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 455408016 is about 21340.2909071081. The cubic root of 455408016 is about 769.3670043711.

The spelling of 455408016 in words is "four hundred fifty-five million, four hundred eight thousand, sixteen".