363432980 has 24 divisors (see below), whose sum is σ = 764642760. Its totient is φ = 145100160.

The previous prime is 363432967. The next prime is 363432983. The reversal of 363432980 is 89234363.

It can be written as a sum of positive squares in 4 ways, for example, as 118635664 + 244797316 = 10892^2 + 15646^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363432983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5975 + ... + 27614.

It is an arithmetic number, because the mean of its divisors is an integer number (31860115).

Almost surely, 2^363432980 is an apocalyptic number.

It is an amenable number.

363432980 is an abundant number, since it is smaller than the sum of its proper divisors (401209780).

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

363432980 is a wasteful number, since it uses less digits than its factorization.

363432980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34139 (or 34137 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 363432980 is about 19063.9182751081. The cubic root of 363432980 is about 713.6327597495.

The spelling of 363432980 in words is "three hundred sixty-three million, four hundred thirty-two thousand, nine hundred eighty".