363803400 has 240 divisors, whose sum is σ = 1338881940. Its totient is φ = 91238400.

The previous prime is 363803399. The next prime is 363803423. The reversal of 363803400 is 4308363.

It can be written as a sum of positive squares in 6 ways, for example, as 272448036 + 91355364 = 16506^2 + 9558^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 274740 + ... + 276060.

Almost surely, 2^363803400 is an apocalyptic number.

363803400 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 363803400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669440970).

363803400 is an abundant number, since it is smaller than the sum of its proper divisors (975078540).

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

363803400 is a wasteful number, since it uses less digits than its factorization.

363803400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 363803400 is about 19073.6310124737. The cubic root of 363803400 is about 713.8751282224.

The spelling of 363803400 in words is "three hundred sixty-three million, eight hundred three thousand, four hundred".