455385600 has 360 divisors, whose sum is σ = 1682057520. Its totient is φ = 117596160.

The previous prime is 455385589. The next prime is 455385611. The reversal of 455385600 is 6583554.

455385600 is a `hidden beast` number, since 45 + 5 + 3 + 8 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (455385589) and next prime (455385611).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6796767 + ... + 6796833.

It is an arithmetic number, because the mean of its divisors is an integer number (4672382).

Almost surely, 2^455385600 is an apocalyptic number.

455385600 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 455385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841028760).

455385600 is an abundant number, since it is smaller than the sum of its proper divisors (1226671920).

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

455385600 is a wasteful number, since it uses less digits than its factorization.

455385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 455385600 is about 21339.7656969330. The cubic root of 455385600 is about 769.3543809556.

The spelling of 455385600 in words is "four hundred fifty-five million, three hundred eighty-five thousand, six hundred".