361435440 has 80 divisors (see below), whose sum is σ = 1136284416. Its totient is φ = 95020800.

The previous prime is 361435429. The next prime is 361435441. The reversal of 361435440 is 44534163.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 361435398 and 361435407.

It is not an unprimeable number, because it can be changed into a prime (361435441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6435 + ... + 27645.

Almost surely, 2^361435440 is an apocalyptic number.

361435440 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 361435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568142208).

361435440 is an abundant number, since it is smaller than the sum of its proper divisors (774848976).

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

361435440 is a wasteful number, since it uses less digits than its factorization.

361435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21298 (or 21292 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 361435440 is about 19011.4554939910. The cubic root of 361435440 is about 712.3229082806.

The spelling of 361435440 in words is "three hundred sixty-one million, four hundred thirty-five thousand, four hundred forty".