455991744 has 224 divisors, whose sum is σ = 1392814080. Its totient is φ = 131349504.

The previous prime is 455991733. The next prime is 455991769. The reversal of 455991744 is 447199554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 455991693 and 455991702.

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, 9701929 + ... + 9701975.

It is an arithmetic number, because the mean of its divisors is an integer number (6217920).

Almost surely, 2^455991744 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 455991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696407040).

455991744 is an abundant number, since it is smaller than the sum of its proper divisors (936822336).

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

455991744 is a wasteful number, since it uses less digits than its factorization.

455991744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 455991744 is about 21353.9631918761. The cubic root of 455991744 is about 769.6955810189.

The spelling of 455991744 in words is "four hundred fifty-five million, nine hundred ninety-one thousand, seven hundred forty-four".