361950456 has 192 divisors, whose sum is σ = 1126137600. Its totient is φ = 96380928.

The previous prime is 361950439. The next prime is 361950461. The reversal of 361950456 is 654059163.

It is a congruent number.

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, 2167285 + ... + 2167451.

It is an arithmetic number, because the mean of its divisors is an integer number (5865300).

Almost surely, 2^361950456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361950456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563068800).

361950456 is an abundant number, since it is smaller than the sum of its proper divisors (764187144).

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

361950456 is a wasteful number, since it uses less digits than its factorization.

361950456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 361950456 is about 19024.9955584752. The cubic root of 361950456 is about 712.6610817086.

The spelling of 361950456 in words is "three hundred sixty-one million, nine hundred fifty thousand, four hundred fifty-six".