455587440 has 320 divisors, whose sum is σ = 1787028480. Its totient is φ = 93265920.

The previous prime is 455587423. The next prime is 455587459. The reversal of 455587440 is 44785554.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 455587392 and 455587401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644582 + ... + 1644858.

It is an arithmetic number, because the mean of its divisors is an integer number (5584464).

Almost surely, 2^455587440 is an apocalyptic number.

455587440 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 455587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893514240).

455587440 is an abundant number, since it is smaller than the sum of its proper divisors (1331441040).

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

455587440 is a wasteful number, since it uses less digits than its factorization.

455587440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The square root of 455587440 is about 21344.4943720857. The cubic root of 455587440 is about 769.4680308320.

The spelling of 455587440 in words is "four hundred fifty-five million, five hundred eighty-seven thousand, four hundred forty".