363545442 has 128 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 102574080.

The previous prime is 363545419. The next prime is 363545443. The reversal of 363545442 is 244545363.

363545442 is a `hidden beast` number, since 3 + 63 + 54 + 544 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 363545397 and 363545406.

It is not an unprimeable number, because it can be changed into a prime (363545443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488923 + ... + 489665.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^363545442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363545442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

363545442 is an abundant number, since it is smaller than the sum of its proper divisors (581394078).

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

363545442 is a wasteful number, since it uses less digits than its factorization.

363545442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 363545442 is about 19066.8676504559. The cubic root of 363545442 is about 713.7063618486.

The spelling of 363545442 in words is "three hundred sixty-three million, five hundred forty-five thousand, four hundred forty-two".