361505400 has 144 divisors (see below), whose sum is σ = 1183462200. Its totient is φ = 91272960.

The previous prime is 361505399. The next prime is 361505407. The reversal of 361505400 is 4505163.

361505400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361505407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215766 + ... + 217434.

Almost surely, 2^361505400 is an apocalyptic number.

361505400 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 361505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591731100).

361505400 is an abundant number, since it is smaller than the sum of its proper divisors (821956800).

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

361505400 is a wasteful number, since it uses less digits than its factorization.

361505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 361505400 is about 19013.2953482557. The cubic root of 361505400 is about 712.3688647550.

The spelling of 361505400 in words is "three hundred sixty-one million, five hundred five thousand, four hundred".