455986440 has 384 divisors, whose sum is σ = 1886976000. Its totient is φ = 92897280.

The previous prime is 455986423. The next prime is 455986451. The reversal of 455986440 is 44689554.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015336 + ... + 1015784.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^455986440 is an apocalyptic number.

455986440 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 455986440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

455986440 is an abundant number, since it is smaller than the sum of its proper divisors (1430989560).

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

455986440 is a wasteful number, since it uses less digits than its factorization.

455986440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 455986440 is about 21353.8389991121. The cubic root of 455986440 is about 769.6925966950.

The spelling of 455986440 in words is "four hundred fifty-five million, nine hundred eighty-six thousand, four hundred forty".