455467968 has 224 divisors, whose sum is σ = 1417320000. Its totient is φ = 143216640.

The previous prime is 455467949. The next prime is 455467973. The reversal of 455467968 is 869764554.

455467968 is a `hidden beast` number, since 4 + 5 + 546 + 7 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3056758 + ... + 3056906.

Almost surely, 2^455467968 is an apocalyptic number.

455467968 is a gapful number since it is divisible by the number (48) 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 455467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708660000).

455467968 is an abundant number, since it is smaller than the sum of its proper divisors (961852032).

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

455467968 is a wasteful number, since it uses less digits than its factorization.

455467968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 455467968 is about 21341.6955277691. The cubic root of 455467968 is about 769.4007638901.

The spelling of 455467968 in words is "four hundred fifty-five million, four hundred sixty-seven thousand, nine hundred sixty-eight".