455378000 has 160 divisors (see below), whose sum is σ = 1373269248. Its totient is φ = 141888000.

The previous prime is 455377991. The next prime is 455378051. The reversal of 455378000 is 873554.

It is a happy number.

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, 152522 + ... + 155478.

Almost surely, 2^455378000 is an apocalyptic number.

455378000 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 455378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686634624).

455378000 is an abundant number, since it is smaller than the sum of its proper divisors (917891248).

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

455378000 is a wasteful number, since it uses less digits than its factorization.

455378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 455378000 is about 21339.5876248816. The cubic root of 455378000 is about 769.3501009741.

The spelling of 455378000 in words is "four hundred fifty-five million, three hundred seventy-eight thousand".