378263601 has 15 divisors (see below), whose sum is σ = 565322043. Its totient is φ = 252059040.

The previous prime is 378263591. The next prime is 378263629. The reversal of 378263601 is 106362873.

It is a happy number.

The square root of 378263601 is 19449.

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., 237129201 + 141134400 = 15399^2 + 11880^2 .

It is not a de Polignac number, because 378263601 - 2⁵ = 378263569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (378261601) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 173961 + ... + 176121.

Almost surely, 2^378263601 is an apocalyptic number.

378263601 is the 19449-th square number.

378263601 is the 9725-th centered octagonal number.

It is an amenable number.

378263601 is a deficient number, since it is larger than the sum of its proper divisors (187058442).

378263601 is an frugal number, since it uses more digits than its factorization.

378263601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 378263601 is about 723.2107131911.

Multiplying 378263601 by its sum of digits (36), we get a square (13617489636 = 116694²).

The spelling of 378263601 in words is "three hundred seventy-eight million, two hundred sixty-three thousand, six hundred one".