455490000 has 400 divisors, whose sum is σ = 1874899840. Its totient is φ = 103680000.

The previous prime is 455489933. The next prime is 455490001. The reversal of 455490000 is 94554.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×455490000² = 414942280200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455490001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889880 + ... + 1890120.

Almost surely, 2^455490000 is an apocalyptic number.

455490000 is a gapful number since it is divisible by the number (40) 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 455490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937449920).

455490000 is an abundant number, since it is smaller than the sum of its proper divisors (1419409840).

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

455490000 is a wasteful number, since it uses less digits than its factorization.

455490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 455490000 is about 21342.2116941989. The cubic root of 455490000 is about 769.4131695662.

The spelling of 455490000 in words is "four hundred fifty-five million, four hundred ninety thousand".