455720760 has 192 divisors, whose sum is σ = 1628246880. Its totient is φ = 109624320.

The previous prime is 455720753. The next prime is 455720767. The reversal of 455720760 is 67027554.

It is an interprime number because it is at equal distance from previous prime (455720753) and next prime (455720767).

It is a super-2 number, since 2×455720760² = 415362822189955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455720767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621354 + ... + 622086.

Almost surely, 2^455720760 is an apocalyptic number.

455720760 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 455720760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814123440).

455720760 is an abundant number, since it is smaller than the sum of its proper divisors (1172526120).

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

455720760 is a wasteful number, since it uses less digits than its factorization.

455720760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 455720760 is about 21347.6171972424. The cubic root of 455720760 is about 769.5430808033.

The spelling of 455720760 in words is "four hundred fifty-five million, seven hundred twenty thousand, seven hundred sixty".