361515042 has 96 divisors (see below), whose sum is σ = 939651840. Its totient is φ = 102725280.

The previous prime is 361515029. The next prime is 361515043. The reversal of 361515042 is 240515163.

361515042 is a `hidden beast` number, since 3 + 6 + 151 + 504 + 2 = 666.

It is a super-4 number, since 4×361515042⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 361514997 and 361515015.

It is not an unprimeable number, because it can be changed into a prime (361515043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838567 + ... + 838997.

It is an arithmetic number, because the mean of its divisors is an integer number (9788040).

Almost surely, 2^361515042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361515042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469825920).

361515042 is an abundant number, since it is smaller than the sum of its proper divisors (578136798).

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

361515042 is a wasteful number, since it uses less digits than its factorization.

361515042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 361515042 is about 19013.5489059775. The cubic root of 361515042 is about 712.3751980855.

The spelling of 361515042 in words is "three hundred sixty-one million, five hundred fifteen thousand, forty-two".