455030400 has 384 divisors, whose sum is σ = 1699891200. Its totient is φ = 105984000.

The previous prime is 455030377. The next prime is 455030437. The reversal of 455030400 is 4030554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3273531 + ... + 3273669.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2^455030400 is an apocalyptic number.

455030400 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 455030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849945600).

455030400 is an abundant number, since it is smaller than the sum of its proper divisors (1244860800).

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

455030400 is a wasteful number, since it uses less digits than its factorization.

455030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 455030400 is about 21331.4415827904. The cubic root of 455030400 is about 769.1542972184.

Adding to 455030400 its reverse (4030554), we get a palindrome (459060954).

The spelling of 455030400 in words is "four hundred fifty-five million, thirty thousand, four hundred".