496955912401 has 27 divisors (see below), whose sum is σ = 542798318673. Its totient is φ = 454777989120.

The previous prime is 496955912371. The next prime is 496955912419. The reversal of 496955912401 is 104219559694.

It is a happy number.

The square root of 496955912401 is 704951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 35344376001 + 461611536400 = 188001^2 + 679420^2 .

It is not a de Polignac number, because 496955912401 - 2⁷ = 496955912273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (496955912501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1933680465 + ... + 1933680721.

Almost surely, 2^496955912401 is an apocalyptic number.

496955912401 is the 704951-st square number.

496955912401 is the 352476-th centered octagonal number.

It is an amenable number.

496955912401 is a deficient number, since it is larger than the sum of its proper divisors (45842406272).

496955912401 is an frugal number, since it uses more digits than its factorization.

496955912401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 496955912401 in words is "four hundred ninety-six billion, nine hundred fifty-five million, nine hundred twelve thousand, four hundred one".