455981064 has 192 divisors, whose sum is σ = 1465128000. Its totient is φ = 116928000.

The previous prime is 455981051. The next prime is 455981083. The reversal of 455981064 is 460189554.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306362 + ... + 1306710.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^455981064 is an apocalyptic number.

455981064 is a gapful number since it is divisible by the number (44) 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 455981064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732564000).

455981064 is an abundant number, since it is smaller than the sum of its proper divisors (1009146936).

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

455981064 is a wasteful number, since it uses less digits than its factorization.

455981064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 455981064 is about 21353.7131197363. The cubic root of 455981064 is about 769.6895718363.

The spelling of 455981064 in words is "four hundred fifty-five million, nine hundred eighty-one thousand, sixty-four".