455642000 has 160 divisors (see below), whose sum is σ = 1218672000. Its totient is φ = 163392000.

The previous prime is 455641981. The next prime is 455642023. The reversal of 455642000 is 246554.

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, 3057926 + ... + 3058074.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^455642000 is an apocalyptic number.

455642000 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 455642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

455642000 is an abundant number, since it is smaller than the sum of its proper divisors (763030000).

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

455642000 is a wasteful number, since it uses less digits than its factorization.

455642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 455642000 is about 21345.7724151646. The cubic root of 455642000 is about 769.4987461212.

Adding to 455642000 its reverse (246554), we get a palindrome (455888554).

The spelling of 455642000 in words is "four hundred fifty-five million, six hundred forty-two thousand".