75455457 has 64 divisors (see below), whose sum is σ = 133152768. Its totient is φ = 36864000.

The previous prime is 75455453. The next prime is 75455483.

It is a happy number.

75455457 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75455457 - 2² = 75455453 is a prime.

Its product of digits (490000) is a multiple of the sum of its prime divisors (350).

It is not an unprimeable number, because it can be changed into a prime (75455453) 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 63 ways as a sum of consecutive naturals, for example, 293473 + ... + 293729.

It is an arithmetic number, because the mean of its divisors is an integer number (2080512).

Almost surely, 2^75455457 is an apocalyptic number.

75455457 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75455457 is a deficient number, since it is larger than the sum of its proper divisors (57697311).

75455457 is a wasteful number, since it uses less digits than its factorization.

75455457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350.

The product of its digits is 490000, while the sum is 42.

The square root of 75455457 is about 8686.5100587060. The cubic root of 75455457 is about 422.5682711239.

The spelling of 75455457 in words is "seventy-five million, four hundred fifty-five thousand, four hundred fifty-seven".