455717920 has 96 divisors (see below), whose sum is σ = 1249008768. Its totient is φ = 153888768.

The previous prime is 455717917. The next prime is 455717923. The reversal of 455717920 is 29717554.

It is an interprime number because it is at equal distance from previous prime (455717917) and next prime (455717923).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (455717923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72004 + ... + 78076.

It is an arithmetic number, because the mean of its divisors is an integer number (13010508).

Almost surely, 2^455717920 is an apocalyptic number.

455717920 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 455717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624504384).

455717920 is an abundant number, since it is smaller than the sum of its proper divisors (793290848).

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

455717920 is a wasteful number, since it uses less digits than its factorization.

455717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 455717920 is about 21347.5506791763. The cubic root of 455717920 is about 769.5414822316.

The spelling of 455717920 in words is "four hundred fifty-five million, seven hundred seventeen thousand, nine hundred twenty".