755464401 has 48 divisors (see below), whose sum is σ = 1168247808. Its totient is φ = 487555200.

The previous prime is 755464397. The next prime is 755464403. The reversal of 755464401 is 104464557.

755464401 is a `hidden beast` number, since 7 + 5 + 5 + 4 + 644 + 0 + 1 = 666.

755464401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 755464401 - 2² = 755464397 is a prime.

It is a super-2 number, since 2×755464401² = 1141452922356577602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (755464403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1902735 + ... + 1903131.

It is an arithmetic number, because the mean of its divisors is an integer number (24338496).

Almost surely, 2^755464401 is an apocalyptic number.

It is an amenable number.

755464401 is a deficient number, since it is larger than the sum of its proper divisors (412783407).

755464401 is a wasteful number, since it uses less digits than its factorization.

755464401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 755464401 is about 27485.7126704039. The cubic root of 755464401 is about 910.7615092547.

The spelling of 755464401 in words is "seven hundred fifty-five million, four hundred sixty-four thousand, four hundred one".