455460096 has 360 divisors, whose sum is σ = 1603068320. Its totient is φ = 113799168.

The previous prime is 455460079. The next prime is 455460119. The reversal of 455460096 is 690064554.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 23971575 + ... + 23971593.

Almost surely, 2^455460096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801534160).

455460096 is an abundant number, since it is smaller than the sum of its proper divisors (1147608224).

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

455460096 is an equidigital number, since it uses as much as digits as its factorization.

455460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 455460096 is about 21341.5110992638. The cubic root of 455460096 is about 769.3963312639.

The spelling of 455460096 in words is "four hundred fifty-five million, four hundred sixty thousand, ninety-six".