478393555600 has 45 divisors (see below), whose sum is σ = 1149373752553. Its totient is φ = 191351888960.

The previous prime is 478393555597. The next prime is 478393555603. The reversal of 478393555600 is 6555393874.

The square root of 478393555600 is 691660.

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

It is an interprime number because it is at equal distance from previous prime (478393555597) and next prime (478393555603).

It can be written as a sum of positive squares in only one way, i.e., 172221680016 + 306171875584 = 414996^2 + 553328^2 .

It is a super-2 number, since 2×478393555600² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (478393555603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13815909 + ... + 13850491.

Almost surely, 2^478393555600 is an apocalyptic number.

478393555600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

478393555600 is the 691660-th square number.

It is an amenable number.

478393555600 is an abundant number, since it is smaller than the sum of its proper divisors (670980196953).

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

478393555600 is an frugal number, since it uses more digits than its factorization.

478393555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69184 (or 34590 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 478393555600 in words is "four hundred seventy-eight billion, three hundred ninety-three million, five hundred fifty-five thousand, six hundred".