455952640 has 288 divisors, whose sum is σ = 1335108096. Its totient is φ = 146964480.

The previous prime is 455952611. The next prime is 455952647. The reversal of 455952640 is 46259554.

455952640 = T₄₈₁₆ + T₄₈₁₇ + ... + T₄₈₅₄.

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

It is a junction number, because it is equal to n+sod(n) for n = 455952593 and 455952602.

It is not an unprimeable number, because it can be changed into a prime (455952647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8602854 + ... + 8602906.

It is an arithmetic number, because the mean of its divisors is an integer number (4635792).

Almost surely, 2^455952640 is an apocalyptic number.

455952640 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 455952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667554048).

455952640 is an abundant number, since it is smaller than the sum of its proper divisors (879155456).

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

455952640 is a wasteful number, since it uses less digits than its factorization.

455952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The square root of 455952640 is about 21353.0475576673. The cubic root of 455952640 is about 769.6735784010.

The spelling of 455952640 in words is "four hundred fifty-five million, nine hundred fifty-two thousand, six hundred forty".