455679000 has 256 divisors, whose sum is σ = 1806105600. Its totient is φ = 104112000.

The previous prime is 455678989. The next prime is 455679019. The reversal of 455679000 is 976554.

455679000 is a `hidden beast` number, since 4 + 5 + 567 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187795 + ... + 190205.

It is an arithmetic number, because the mean of its divisors is an integer number (7055100).

Almost surely, 2^455679000 is an apocalyptic number.

455679000 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 455679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903052800).

455679000 is an abundant number, since it is smaller than the sum of its proper divisors (1350426600).

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

455679000 is a wasteful number, since it uses less digits than its factorization.

455679000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 455679000 is about 21346.6390797240. The cubic root of 455679000 is about 769.5195743760.

The spelling of 455679000 in words is "four hundred fifty-five million, six hundred seventy-nine thousand".