361294920 has 192 divisors, whose sum is σ = 1349187840. Its totient is φ = 82137600.

The previous prime is 361294889. The next prime is 361294939. The reversal of 361294920 is 29492163.

361294920 is a `hidden beast` number, since 361 + 294 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783490 + ... + 783950.

It is an arithmetic number, because the mean of its divisors is an integer number (7027020).

Almost surely, 2^361294920 is an apocalyptic number.

361294920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361294920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674593920).

361294920 is an abundant number, since it is smaller than the sum of its proper divisors (987892920).

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

361294920 is a wasteful number, since it uses less digits than its factorization.

361294920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 361294920 is about 19007.7594681751. The cubic root of 361294920 is about 712.2305832725.

The spelling of 361294920 in words is "three hundred sixty-one million, two hundred ninety-four thousand, nine hundred twenty".