455052000 has 192 divisors, whose sum is σ = 1605973824. Its totient is φ = 111974400.

The previous prime is 455051981. The next prime is 455052019. The reversal of 455052000 is 250554.

It is an interprime number because it is at equal distance from previous prime (455051981) and next prime (455052019).

It is a congruent number.

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, 154542 + ... + 157458.

It is an arithmetic number, because the mean of its divisors is an integer number (8364447).

Almost surely, 2^455052000 is an apocalyptic number.

455052000 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 455052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802986912).

455052000 is an abundant number, since it is smaller than the sum of its proper divisors (1150921824).

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

455052000 is a wasteful number, since it uses less digits than its factorization.

455052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 455052000 is about 21331.9478716783. The cubic root of 455052000 is about 769.1664674455.

The spelling of 455052000 in words is "four hundred fifty-five million, fifty-two thousand".