455362560 has 336 divisors, whose sum is σ = 1665010620. Its totient is φ = 119439360.

The previous prime is 455362529. The next prime is 455362577. The reversal of 455362560 is 65263554.

It is a happy number.

455362560 is a `hidden beast` number, since 45 + 53 + 6 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 394896384 + 60466176 = 19872^2 + 7776^2 .

It is a super-2 number, since 2×455362560² = 414710122099507200, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 7464930 + ... + 7464990.

Almost surely, 2^455362560 is an apocalyptic number.

455362560 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 455362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832505310).

455362560 is an abundant number, since it is smaller than the sum of its proper divisors (1209648060).

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

455362560 is an frugal number, since it uses more digits than its factorization.

455362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 455362560 is about 21339.2258528748. The cubic root of 455362560 is about 769.3414057072.

The spelling of 455362560 in words is "four hundred fifty-five million, three hundred sixty-two thousand, five hundred sixty".