455002748928 has 1344 divisors, whose sum is σ = 1786610105280. Its totient is φ = 112368549888.

The previous prime is 455002748923. The next prime is 455002748969. The reversal of 455002748928 is 829847200554.

455002748928 is a `hidden beast` number, since 4 + 5 + 500 + 2 + 7 + 48 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455002748923) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2309658526 + ... + 2309658722.

It is an arithmetic number, because the mean of its divisors is an integer number (1329322995).

Almost surely, 2^455002748928 is an apocalyptic number.

455002748928 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 455002748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893305052640).

455002748928 is an abundant number, since it is smaller than the sum of its proper divisors (1331607356352).

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

455002748928 is a wasteful number, since it uses less digits than its factorization.

455002748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 455002748928 in words is "four hundred fifty-five billion, two million, seven hundred forty-eight thousand, nine hundred twenty-eight".