363790440 has 192 divisors, whose sum is σ = 1320883200. Its totient is φ = 89517312.

The previous prime is 363790433. The next prime is 363790523. The reversal of 363790440 is 44097363.

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

It is a junction number, because it is equal to n+sod(n) for n = 363790395 and 363790404.

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, 124921 + ... + 127799.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^363790440 is an apocalyptic number.

363790440 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 363790440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

363790440 is an abundant number, since it is smaller than the sum of its proper divisors (957092760).

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

363790440 is a wasteful number, since it uses less digits than its factorization.

363790440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 363790440 is about 19073.2912734011. The cubic root of 363790440 is about 713.8666511791.

The spelling of 363790440 in words is "three hundred sixty-three million, seven hundred ninety thousand, four hundred forty".