455293440 has 320 divisors, whose sum is σ = 1850238720. Its totient is φ = 103956480.

The previous prime is 455293427. The next prime is 455293451. The reversal of 455293440 is 44392554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 455293395 and 455293404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483370 + ... + 484310.

It is an arithmetic number, because the mean of its divisors is an integer number (5781996).

Almost surely, 2^455293440 is an apocalyptic number.

455293440 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 455293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925119360).

455293440 is an abundant number, since it is smaller than the sum of its proper divisors (1394945280).

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

455293440 is an equidigital number, since it uses as much as digits as its factorization.

455293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 455293440 is about 21337.6062387513. The cubic root of 455293440 is about 769.3024773356.

The spelling of 455293440 in words is "four hundred fifty-five million, two hundred ninety-three thousand, four hundred forty".