363420512 has 96 divisors (see below), whose sum is σ = 904663872. Its totient is φ = 139843584.

The previous prime is 363420479. The next prime is 363420517. The reversal of 363420512 is 215024363.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363420517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106058 + ... + 109430.

It is an arithmetic number, because the mean of its divisors is an integer number (9423582).

Almost surely, 2^363420512 is an apocalyptic number.

363420512 is a gapful number since it is divisible by the number (32) 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 363420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452331936).

363420512 is an abundant number, since it is smaller than the sum of its proper divisors (541243360).

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

363420512 is a wasteful number, since it uses less digits than its factorization.

363420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 363420512 is about 19063.5912671249. The cubic root of 363420512 is about 713.6245989831.

Adding to 363420512 its reverse (215024363), we get a palindrome (578444875).

The spelling of 363420512 in words is "three hundred sixty-three million, four hundred twenty thousand, five hundred twelve".