455855400 has 864 divisors, whose sum is σ = 2161111680. Its totient is φ = 83635200.

The previous prime is 455855399. The next prime is 455855401. The reversal of 455855400 is 4558554.

It is an interprime number because it is at equal distance from previous prime (455855399) and next prime (455855401).

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

It is not an unprimeable number, because it can be changed into a prime (455855401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19819789 + ... + 19819811.

Almost surely, 2^455855400 is an apocalyptic number.

455855400 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 455855400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080555840).

455855400 is an abundant number, since it is smaller than the sum of its proper divisors (1705256280).

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

455855400 is a wasteful number, since it uses less digits than its factorization.

455855400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 455855400 is about 21350.7704779008. The cubic root of 455855400 is about 769.6188589898.

455855400 divided by its reverse (4558554) gives a square (100 = 10²).

The spelling of 455855400 in words is "four hundred fifty-five million, eight hundred fifty-five thousand, four hundred".