455456520 has 160 divisors (see below), whose sum is σ = 1621085400. Its totient is φ = 114296832.

The previous prime is 455456423. The next prime is 455456527. The reversal of 455456520 is 25654554.

455456520 is a `hidden beast` number, since 4 + 554 + 56 + 52 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453434436 + 2022084 = 21294^2 + 1422^2 .

It is a super-2 number, since 2×455456520² = 414881283221020800, which contains 22 as substring.

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 (455456527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50946 + ... + 59214.

Almost surely, 2^455456520 is an apocalyptic number.

455456520 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 455456520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810542700).

455456520 is an abundant number, since it is smaller than the sum of its proper divisors (1165628880).

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

455456520 is a wasteful number, since it uses less digits than its factorization.

455456520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 455456520 is about 21341.4273187151. The cubic root of 455456520 is about 769.3943176455.

The spelling of 455456520 in words is "four hundred fifty-five million, four hundred fifty-six thousand, five hundred twenty".