385802476900 has 81 divisors (see below), whose sum is σ = 844327751449. Its totient is φ = 153016617760.

The previous prime is 385802476889. The next prime is 385802476919. The reversal of 385802476900 is 9674208583.

The square root of 385802476900 is 621130.

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

It can be written as a sum of positive squares in only one way, i.e., 138888891684 + 246913585216 = 372678^2 + 496904^2 .

It is a super-2 number, since 2×385802476900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1111822527 + ... + 1111822873.

Almost surely, 2^385802476900 is an apocalyptic number.

385802476900 is the 621130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385802476900

385802476900 is an abundant number, since it is smaller than the sum of its proper divisors (458525274549).

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

385802476900 is an equidigital number, since it uses as much as digits as its factorization.

385802476900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 385802476900 in words is "three hundred eighty-five billion, eight hundred two million, four hundred seventy-six thousand, nine hundred".